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Finding the Fourth Proportional to 288,681.06, 398,367.30 and 157,856.30

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Solution

The fourth proportional to 288,681.06, 398,367.30 and 157,856.30 is: 217,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,681.06 : 398,367.30 = 157,856.30 : x
  2. Step 2: Convert to fraction form
    288,681.06/398,367.30 = 157,856.30/x
  3. Step 3: Cross multiply
    288,681.06x = 398,367.30 × 157,856.30
  4. Step 4: Simplify right side
    288,681.06x = 62,884,788,018.99
  5. Step 5: Solve for x
    x = 62,884,788,018.99/288,681.06
  6. Step 6: Final answer
    x = 217,834.82

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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.