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Finding the Fourth Proportional to 356,750.40, 535,125.60 and 286,766.40

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Solution

The fourth proportional to 356,750.40, 535,125.60 and 286,766.40 is: 430,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,750.40 : 535,125.60 = 286,766.40 : x
  2. Step 2: Convert to fraction form
    356,750.40/535,125.60 = 286,766.40/x
  3. Step 3: Cross multiply
    356,750.40x = 535,125.60 × 286,766.40
  4. Step 4: Simplify right side
    356,750.40x = 153,456,041,859.84
  5. Step 5: Solve for x
    x = 153,456,041,859.84/356,750.40
  6. Step 6: Final answer
    x = 430,149.60

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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.