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Finding the Fourth Proportional to 527,709.60, 728,239.68 and 309,875.76

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Solution

The fourth proportional to 527,709.60, 728,239.68 and 309,875.76 is: 427,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,709.60 : 728,239.68 = 309,875.76 : x
  2. Step 2: Convert to fraction form
    527,709.60/728,239.68 = 309,875.76/x
  3. Step 3: Cross multiply
    527,709.60x = 728,239.68 × 309,875.76
  4. Step 4: Simplify right side
    527,709.60x = 225,663,824,302.16
  5. Step 5: Solve for x
    x = 225,663,824,302.16/527,709.60
  6. Step 6: Final answer
    x = 427,628.80

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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.