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Finding the Fourth Proportional to 497,347.84, 746,242.28 and 260,634.25

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Solution

The fourth proportional to 497,347.84, 746,242.28 and 260,634.25 is: 391,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,347.84 : 746,242.28 = 260,634.25 : x
  2. Step 2: Convert to fraction form
    497,347.84/746,242.28 = 260,634.25/x
  3. Step 3: Cross multiply
    497,347.84x = 746,242.28 × 260,634.25
  4. Step 4: Simplify right side
    497,347.84x = 194,496,291,931.71
  5. Step 5: Solve for x
    x = 194,496,291,931.71/497,347.84
  6. Step 6: Final answer
    x = 391,066.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.