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Finding the Fourth Proportional to 473,075.60, 709,726.80 and 157,535.24

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Solution

The fourth proportional to 473,075.60, 709,726.80 and 157,535.24 is: 236,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,075.60 : 709,726.80 = 157,535.24 : x
  2. Step 2: Convert to fraction form
    473,075.60/709,726.80 = 157,535.24/x
  3. Step 3: Cross multiply
    473,075.60x = 709,726.80 × 157,535.24
  4. Step 4: Simplify right side
    473,075.60x = 111,806,981,772.43
  5. Step 5: Solve for x
    x = 111,806,981,772.43/473,075.60
  6. Step 6: Final answer
    x = 236,340.62

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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.