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Finding the Fourth Proportional to 513,328.59, 708,398.16 and 283,874.02

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Solution

The fourth proportional to 513,328.59, 708,398.16 and 283,874.02 is: 391,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,328.59 : 708,398.16 = 283,874.02 : x
  2. Step 2: Convert to fraction form
    513,328.59/708,398.16 = 283,874.02/x
  3. Step 3: Cross multiply
    513,328.59x = 708,398.16 × 283,874.02
  4. Step 4: Simplify right side
    513,328.59x = 201,095,830,604.28
  5. Step 5: Solve for x
    x = 201,095,830,604.28/513,328.59
  6. Step 6: Final answer
    x = 391,748.74

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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.