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Finding the Fourth Proportional to 586,026.72, 808,732.80 and 331,416

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Solution

The fourth proportional to 586,026.72, 808,732.80 and 331,416 is: 457,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,026.72 : 808,732.80 = 331,416 : x
  2. Step 2: Convert to fraction form
    586,026.72/808,732.80 = 331,416/x
  3. Step 3: Cross multiply
    586,026.72x = 808,732.80 × 331,416
  4. Step 4: Simplify right side
    586,026.72x = 268,026,989,644.80
  5. Step 5: Solve for x
    x = 268,026,989,644.80/586,026.72
  6. Step 6: Final answer
    x = 457,363.09

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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.