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Finding the Fourth Proportional to 472,941.20, 709,411.80 and 465,165.20

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Solution

The fourth proportional to 472,941.20, 709,411.80 and 465,165.20 is: 697,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,941.20 : 709,411.80 = 465,165.20 : x
  2. Step 2: Convert to fraction form
    472,941.20/709,411.80 = 465,165.20/x
  3. Step 3: Cross multiply
    472,941.20x = 709,411.80 × 465,165.20
  4. Step 4: Simplify right side
    472,941.20x = 329,993,681,829.36
  5. Step 5: Solve for x
    x = 329,993,681,829.36/472,941.20
  6. Step 6: Final answer
    x = 697,747.80

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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.