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Finding the Fourth Proportional to 565,133.80, 847,700.70 and 144,442.60

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Solution

The fourth proportional to 565,133.80, 847,700.70 and 144,442.60 is: 216,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,133.80 : 847,700.70 = 144,442.60 : x
  2. Step 2: Convert to fraction form
    565,133.80/847,700.70 = 144,442.60/x
  3. Step 3: Cross multiply
    565,133.80x = 847,700.70 × 144,442.60
  4. Step 4: Simplify right side
    565,133.80x = 122,444,093,129.82
  5. Step 5: Solve for x
    x = 122,444,093,129.82/565,133.80
  6. Step 6: Final answer
    x = 216,663.90

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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.