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Finding the Fourth Proportional to 502,686.84, 754,567.42 and 203,363.08

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Solution

The fourth proportional to 502,686.84, 754,567.42 and 203,363.08 is: 305,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,686.84 : 754,567.42 = 203,363.08 : x
  2. Step 2: Convert to fraction form
    502,686.84/754,567.42 = 203,363.08/x
  3. Step 3: Cross multiply
    502,686.84x = 754,567.42 × 203,363.08
  4. Step 4: Simplify right side
    502,686.84x = 153,451,154,598.85
  5. Step 5: Solve for x
    x = 153,451,154,598.85/502,686.84
  6. Step 6: Final answer
    x = 305,261.93

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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.