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Finding the Fourth Proportional to 472,925.84, 652,635.06 and 258,065.24

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Solution

The fourth proportional to 472,925.84, 652,635.06 and 258,065.24 is: 356,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,925.84 : 652,635.06 = 258,065.24 : x
  2. Step 2: Convert to fraction form
    472,925.84/652,635.06 = 258,065.24/x
  3. Step 3: Cross multiply
    472,925.84x = 652,635.06 × 258,065.24
  4. Step 4: Simplify right side
    472,925.84x = 168,422,423,391.31
  5. Step 5: Solve for x
    x = 168,422,423,391.31/472,925.84
  6. Step 6: Final answer
    x = 356,128.61

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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.