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Finding the Fourth Proportional to 510,545.84, 766,291.59 and 258,004.04

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Solution

The fourth proportional to 510,545.84, 766,291.59 and 258,004.04 is: 387,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,545.84 : 766,291.59 = 258,004.04 : x
  2. Step 2: Convert to fraction form
    510,545.84/766,291.59 = 258,004.04/x
  3. Step 3: Cross multiply
    510,545.84x = 766,291.59 × 258,004.04
  4. Step 4: Simplify right side
    510,545.84x = 197,706,322,206.57
  5. Step 5: Solve for x
    x = 197,706,322,206.57/510,545.84
  6. Step 6: Final answer
    x = 387,245.00

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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.