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Finding the Fourth Proportional to 435,223.02, 600,453.80 and 284,407.50

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Solution

The fourth proportional to 435,223.02, 600,453.80 and 284,407.50 is: 392,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,223.02 : 600,453.80 = 284,407.50 : x
  2. Step 2: Convert to fraction form
    435,223.02/600,453.80 = 284,407.50/x
  3. Step 3: Cross multiply
    435,223.02x = 600,453.80 × 284,407.50
  4. Step 4: Simplify right side
    435,223.02x = 170,773,566,335.65
  5. Step 5: Solve for x
    x = 170,773,566,335.65/435,223.02
  6. Step 6: Final answer
    x = 392,381.74

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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.