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Finding the Fourth Proportional to 497,298.77, 745,953.35 and 398,089.63

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Solution

The fourth proportional to 497,298.77, 745,953.35 and 398,089.63 is: 597,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,298.77 : 745,953.35 = 398,089.63 : x
  2. Step 2: Convert to fraction form
    497,298.77/745,953.35 = 398,089.63/x
  3. Step 3: Cross multiply
    497,298.77x = 745,953.35 × 398,089.63
  4. Step 4: Simplify right side
    497,298.77x = 296,956,289,243.43
  5. Step 5: Solve for x
    x = 296,956,289,243.43/497,298.77
  6. Step 6: Final answer
    x = 597,138.60

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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.