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Finding the Fourth Proportional to 708,280, 977,426.42 and 390,328

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Solution

The fourth proportional to 708,280, 977,426.42 and 390,328 is: 538,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,280 : 977,426.42 = 390,328 : x
  2. Step 2: Convert to fraction form
    708,280/977,426.42 = 390,328/x
  3. Step 3: Cross multiply
    708,280x = 977,426.42 × 390,328
  4. Step 4: Simplify right side
    708,280x = 381,516,899,665.76
  5. Step 5: Solve for x
    x = 381,516,899,665.76/708,280
  6. Step 6: Final answer
    x = 538,652.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.