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Finding the Fourth Proportional to 288,077.40, 432,116.10 and 288,077.40

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Solution

The fourth proportional to 288,077.40, 432,116.10 and 288,077.40 is: 432,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,077.40 : 432,116.10 = 288,077.40 : x
  2. Step 2: Convert to fraction form
    288,077.40/432,116.10 = 288,077.40/x
  3. Step 3: Cross multiply
    288,077.40x = 432,116.10 × 288,077.40
  4. Step 4: Simplify right side
    288,077.40x = 124,482,882,586.14
  5. Step 5: Solve for x
    x = 124,482,882,586.14/288,077.40
  6. Step 6: Final answer
    x = 432,116.10

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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.