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Finding the Fourth Proportional to 497,543.40, 746,315.10 and 123,566.40

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Solution

The fourth proportional to 497,543.40, 746,315.10 and 123,566.40 is: 185,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,543.40 : 746,315.10 = 123,566.40 : x
  2. Step 2: Convert to fraction form
    497,543.40/746,315.10 = 123,566.40/x
  3. Step 3: Cross multiply
    497,543.40x = 746,315.10 × 123,566.40
  4. Step 4: Simplify right side
    497,543.40x = 92,219,470,172.64
  5. Step 5: Solve for x
    x = 92,219,470,172.64/497,543.40
  6. Step 6: Final answer
    x = 185,349.60

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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.