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Finding the Fourth Proportional to 532,114.80, 797,005.80 and 462,130.80

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Solution

The fourth proportional to 532,114.80, 797,005.80 and 462,130.80 is: 692,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,114.80 : 797,005.80 = 462,130.80 : x
  2. Step 2: Convert to fraction form
    532,114.80/797,005.80 = 462,130.80/x
  3. Step 3: Cross multiply
    532,114.80x = 797,005.80 × 462,130.80
  4. Step 4: Simplify right side
    532,114.80x = 368,320,927,958.64
  5. Step 5: Solve for x
    x = 368,320,927,958.64/532,114.80
  6. Step 6: Final answer
    x = 692,183.21

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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.