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Finding the Fourth Proportional to 472,805.92, 652,458 and 257,950.24

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Solution

The fourth proportional to 472,805.92, 652,458 and 257,950.24 is: 355,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,805.92 : 652,458 = 257,950.24 : x
  2. Step 2: Convert to fraction form
    472,805.92/652,458 = 257,950.24/x
  3. Step 3: Cross multiply
    472,805.92x = 652,458 × 257,950.24
  4. Step 4: Simplify right side
    472,805.92x = 168,301,697,689.92
  5. Step 5: Solve for x
    x = 168,301,697,689.92/472,805.92
  6. Step 6: Final answer
    x = 355,963.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.