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Finding the Fourth Proportional to 472,673.60, 709,075.20 and 157,097.60

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Solution

The fourth proportional to 472,673.60, 709,075.20 and 157,097.60 is: 235,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,673.60 : 709,075.20 = 157,097.60 : x
  2. Step 2: Convert to fraction form
    472,673.60/709,075.20 = 157,097.60/x
  3. Step 3: Cross multiply
    472,673.60x = 709,075.20 × 157,097.60
  4. Step 4: Simplify right side
    472,673.60x = 111,394,012,139.52
  5. Step 5: Solve for x
    x = 111,394,012,139.52/472,673.60
  6. Step 6: Final answer
    x = 235,667.94

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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.