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Finding the Fourth Proportional to 524,488.50, 723,802.77 and 286,024.50

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Solution

The fourth proportional to 524,488.50, 723,802.77 and 286,024.50 is: 394,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,488.50 : 723,802.77 = 286,024.50 : x
  2. Step 2: Convert to fraction form
    524,488.50/723,802.77 = 286,024.50/x
  3. Step 3: Cross multiply
    524,488.50x = 723,802.77 × 286,024.50
  4. Step 4: Simplify right side
    524,488.50x = 207,025,325,387.87
  5. Step 5: Solve for x
    x = 207,025,325,387.87/524,488.50
  6. Step 6: Final answer
    x = 394,718.52

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1.5x scale

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.