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Finding the Fourth Proportional to 546,904.30, 820,356.45 and 497,040.70

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Solution

The fourth proportional to 546,904.30, 820,356.45 and 497,040.70 is: 745,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,904.30 : 820,356.45 = 497,040.70 : x
  2. Step 2: Convert to fraction form
    546,904.30/820,356.45 = 497,040.70/x
  3. Step 3: Cross multiply
    546,904.30x = 820,356.45 × 497,040.70
  4. Step 4: Simplify right side
    546,904.30x = 407,750,544,157.52
  5. Step 5: Solve for x
    x = 407,750,544,157.52/546,904.30
  6. Step 6: Final answer
    x = 745,561.05

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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.