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Finding the Fourth Proportional to 576,486.57, 865,254.63 and 306,841.10

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Solution

The fourth proportional to 576,486.57, 865,254.63 and 306,841.10 is: 460,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,486.57 : 865,254.63 = 306,841.10 : x
  2. Step 2: Convert to fraction form
    576,486.57/865,254.63 = 306,841.10/x
  3. Step 3: Cross multiply
    576,486.57x = 865,254.63 × 306,841.10
  4. Step 4: Simplify right side
    576,486.57x = 265,495,678,123.02
  5. Step 5: Solve for x
    x = 265,495,678,123.02/576,486.57
  6. Step 6: Final answer
    x = 460,540.96

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Why These Related Problems?

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