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Finding the Fourth Proportional to 497,227.95, 745,841.93 and 308,271.15

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Solution

The fourth proportional to 497,227.95, 745,841.93 and 308,271.15 is: 462,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,227.95 : 745,841.93 = 308,271.15 : x
  2. Step 2: Convert to fraction form
    497,227.95/745,841.93 = 308,271.15/x
  3. Step 3: Cross multiply
    497,227.95x = 745,841.93 × 308,271.15
  4. Step 4: Simplify right side
    497,227.95x = 229,921,547,937.96
  5. Step 5: Solve for x
    x = 229,921,547,937.96/497,227.95
  6. Step 6: Final answer
    x = 462,406.73

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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.