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Finding the Fourth Proportional to 538,465.10, 807,697.65 and 528,097.10

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Solution

The fourth proportional to 538,465.10, 807,697.65 and 528,097.10 is: 792,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,465.10 : 807,697.65 = 528,097.10 : x
  2. Step 2: Convert to fraction form
    538,465.10/807,697.65 = 528,097.10/x
  3. Step 3: Cross multiply
    538,465.10x = 807,697.65 × 528,097.10
  4. Step 4: Simplify right side
    538,465.10x = 426,542,786,641.82
  5. Step 5: Solve for x
    x = 426,542,786,641.82/538,465.10
  6. Step 6: Final answer
    x = 792,145.65

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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.