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Finding the Fourth Proportional to 334,657.40, 501,986.10 and 288,001.40

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Solution

The fourth proportional to 334,657.40, 501,986.10 and 288,001.40 is: 432,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,657.40 : 501,986.10 = 288,001.40 : x
  2. Step 2: Convert to fraction form
    334,657.40/501,986.10 = 288,001.40/x
  3. Step 3: Cross multiply
    334,657.40x = 501,986.10 × 288,001.40
  4. Step 4: Simplify right side
    334,657.40x = 144,572,699,580.54
  5. Step 5: Solve for x
    x = 144,572,699,580.54/334,657.40
  6. Step 6: Final answer
    x = 432,002.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.