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Finding the Fourth Proportional to 472,416, 651,934.08 and 260,448

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Solution

The fourth proportional to 472,416, 651,934.08 and 260,448 is: 359,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,416 : 651,934.08 = 260,448 : x
  2. Step 2: Convert to fraction form
    472,416/651,934.08 = 260,448/x
  3. Step 3: Cross multiply
    472,416x = 651,934.08 × 260,448
  4. Step 4: Simplify right side
    472,416x = 169,794,927,267.84
  5. Step 5: Solve for x
    x = 169,794,927,267.84/472,416
  6. Step 6: Final answer
    x = 359,418.24

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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.