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Finding the Fourth Proportional to 538,931.40, 807,230.70 and 289,321.80

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Solution

The fourth proportional to 538,931.40, 807,230.70 and 289,321.80 is: 433,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,931.40 : 807,230.70 = 289,321.80 : x
  2. Step 2: Convert to fraction form
    538,931.40/807,230.70 = 289,321.80/x
  3. Step 3: Cross multiply
    538,931.40x = 807,230.70 × 289,321.80
  4. Step 4: Simplify right side
    538,931.40x = 233,549,439,139.26
  5. Step 5: Solve for x
    x = 233,549,439,139.26/538,931.40
  6. Step 6: Final answer
    x = 433,356.53

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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.