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Finding the Fourth Proportional to 472,643.60, 709,030.20 and 157,067.60

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Solution

The fourth proportional to 472,643.60, 709,030.20 and 157,067.60 is: 235,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,643.60 : 709,030.20 = 157,067.60 : x
  2. Step 2: Convert to fraction form
    472,643.60/709,030.20 = 157,067.60/x
  3. Step 3: Cross multiply
    472,643.60x = 709,030.20 × 157,067.60
  4. Step 4: Simplify right side
    472,643.60x = 111,365,671,841.52
  5. Step 5: Solve for x
    x = 111,365,671,841.52/472,643.60
  6. Step 6: Final answer
    x = 235,622.93

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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.