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Finding the Fourth Proportional to 314,634.80, 472,259.40 and 157,041.20

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Solution

The fourth proportional to 314,634.80, 472,259.40 and 157,041.20 is: 235,715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,634.80 : 472,259.40 = 157,041.20 : x
  2. Step 2: Convert to fraction form
    314,634.80/472,259.40 = 157,041.20/x
  3. Step 3: Cross multiply
    314,634.80x = 472,259.40 × 157,041.20
  4. Step 4: Simplify right side
    314,634.80x = 74,164,182,887.28
  5. Step 5: Solve for x
    x = 74,164,182,887.28/314,634.80
  6. Step 6: Final answer
    x = 235,715.13

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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.