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Finding the Fourth Proportional to 531,703.80, 797,282.10 and 157,678.20

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Solution

The fourth proportional to 531,703.80, 797,282.10 and 157,678.20 is: 236,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,703.80 : 797,282.10 = 157,678.20 : x
  2. Step 2: Convert to fraction form
    531,703.80/797,282.10 = 157,678.20/x
  3. Step 3: Cross multiply
    531,703.80x = 797,282.10 × 157,678.20
  4. Step 4: Simplify right side
    531,703.80x = 125,714,006,420.22
  5. Step 5: Solve for x
    x = 125,714,006,420.22/531,703.80
  6. Step 6: Final answer
    x = 236,436.16

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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.