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Finding the Fourth Proportional to 357,646.80, 536,470.20 and 157,864.35

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Solution

The fourth proportional to 357,646.80, 536,470.20 and 157,864.35 is: 236,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,646.80 : 536,470.20 = 157,864.35 : x
  2. Step 2: Convert to fraction form
    357,646.80/536,470.20 = 157,864.35/x
  3. Step 3: Cross multiply
    357,646.80x = 536,470.20 × 157,864.35
  4. Step 4: Simplify right side
    357,646.80x = 84,689,519,417.37
  5. Step 5: Solve for x
    x = 84,689,519,417.37/357,646.80
  6. Step 6: Final answer
    x = 236,796.53

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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.