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Finding the Fourth Proportional to 472,158.70, 707,722.62 and 232,437.58

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Solution

The fourth proportional to 472,158.70, 707,722.62 and 232,437.58 is: 348,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,158.70 : 707,722.62 = 232,437.58 : x
  2. Step 2: Convert to fraction form
    472,158.70/707,722.62 = 232,437.58/x
  3. Step 3: Cross multiply
    472,158.70x = 707,722.62 × 232,437.58
  4. Step 4: Simplify right side
    472,158.70x = 164,501,330,463.11
  5. Step 5: Solve for x
    x = 164,501,330,463.11/472,158.70
  6. Step 6: Final answer
    x = 348,402.63

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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.