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Finding the Fourth Proportional to 460,652.96, 691,348.08 and 239,100.32

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Solution

The fourth proportional to 460,652.96, 691,348.08 and 239,100.32 is: 358,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,652.96 : 691,348.08 = 239,100.32 : x
  2. Step 2: Convert to fraction form
    460,652.96/691,348.08 = 239,100.32/x
  3. Step 3: Cross multiply
    460,652.96x = 691,348.08 × 239,100.32
  4. Step 4: Simplify right side
    460,652.96x = 165,301,547,159.39
  5. Step 5: Solve for x
    x = 165,301,547,159.39/460,652.96
  6. Step 6: Final answer
    x = 358,841.82

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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.