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Finding the Fourth Proportional to 538,307.60, 807,461.40 and 509,277.20

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Solution

The fourth proportional to 538,307.60, 807,461.40 and 509,277.20 is: 763,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,307.60 : 807,461.40 = 509,277.20 : x
  2. Step 2: Convert to fraction form
    538,307.60/807,461.40 = 509,277.20/x
  3. Step 3: Cross multiply
    538,307.60x = 807,461.40 × 509,277.20
  4. Step 4: Simplify right side
    538,307.60x = 411,221,680,900.08
  5. Step 5: Solve for x
    x = 411,221,680,900.08/538,307.60
  6. Step 6: Final answer
    x = 763,915.80

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