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Finding the Fourth Proportional to 501,658.47, 692,242.88 and 297,674.28

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Solution

The fourth proportional to 501,658.47, 692,242.88 and 297,674.28 is: 410,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,658.47 : 692,242.88 = 297,674.28 : x
  2. Step 2: Convert to fraction form
    501,658.47/692,242.88 = 297,674.28/x
  3. Step 3: Cross multiply
    501,658.47x = 692,242.88 × 297,674.28
  4. Step 4: Simplify right side
    501,658.47x = 206,062,899,400.76
  5. Step 5: Solve for x
    x = 206,062,899,400.76/501,658.47
  6. Step 6: Final answer
    x = 410,763.32

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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.