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Finding the Fourth Proportional to 462,130.91, 637,753.65 and 258,204.28

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Solution

The fourth proportional to 462,130.91, 637,753.65 and 258,204.28 is: 356,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,130.91 : 637,753.65 = 258,204.28 : x
  2. Step 2: Convert to fraction form
    462,130.91/637,753.65 = 258,204.28/x
  3. Step 3: Cross multiply
    462,130.91x = 637,753.65 × 258,204.28
  4. Step 4: Simplify right side
    462,130.91x = 164,670,723,894.84
  5. Step 5: Solve for x
    x = 164,670,723,894.84/462,130.91
  6. Step 6: Final answer
    x = 356,329.17

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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.