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Finding the Fourth Proportional to 286,612.68, 429,412.70 and 174,063.08

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Solution

The fourth proportional to 286,612.68, 429,412.70 and 174,063.08 is: 260,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,612.68 : 429,412.70 = 174,063.08 : x
  2. Step 2: Convert to fraction form
    286,612.68/429,412.70 = 174,063.08/x
  3. Step 3: Cross multiply
    286,612.68x = 429,412.70 × 174,063.08
  4. Step 4: Simplify right side
    286,612.68x = 74,744,897,153.12
  5. Step 5: Solve for x
    x = 74,744,897,153.12/286,612.68
  6. Step 6: Final answer
    x = 260,787.13

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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.