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Finding the Fourth Proportional to 531,471.48, 797,070.96 and 157,407

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Solution

The fourth proportional to 531,471.48, 797,070.96 and 157,407 is: 236,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,471.48 : 797,070.96 = 157,407 : x
  2. Step 2: Convert to fraction form
    531,471.48/797,070.96 = 157,407/x
  3. Step 3: Cross multiply
    531,471.48x = 797,070.96 × 157,407
  4. Step 4: Simplify right side
    531,471.48x = 125,464,548,600.72
  5. Step 5: Solve for x
    x = 125,464,548,600.72/531,471.48
  6. Step 6: Final answer
    x = 236,070.14

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1.5x scale

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.