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Finding the Fourth Proportional to 409,915.80, 614,582.10 and 157,098.60

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Solution

The fourth proportional to 409,915.80, 614,582.10 and 157,098.60 is: 235,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,915.80 : 614,582.10 = 157,098.60 : x
  2. Step 2: Convert to fraction form
    409,915.80/614,582.10 = 157,098.60/x
  3. Step 3: Cross multiply
    409,915.80x = 614,582.10 × 157,098.60
  4. Step 4: Simplify right side
    409,915.80x = 96,549,987,495.06
  5. Step 5: Solve for x
    x = 96,549,987,495.06/409,915.80
  6. Step 6: Final answer
    x = 235,536.15

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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.