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Finding the Fourth Proportional to 334,415.16, 501,613.02 and 97,763.40

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Solution

The fourth proportional to 334,415.16, 501,613.02 and 97,763.40 is: 146,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,415.16 : 501,613.02 = 97,763.40 : x
  2. Step 2: Convert to fraction form
    334,415.16/501,613.02 = 97,763.40/x
  3. Step 3: Cross multiply
    334,415.16x = 501,613.02 × 97,763.40
  4. Step 4: Simplify right side
    334,415.16x = 49,039,394,319.47
  5. Step 5: Solve for x
    x = 49,039,394,319.47/334,415.16
  6. Step 6: Final answer
    x = 146,642.26

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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.