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Finding the Fourth Proportional to 535,938.40, 803,216.40 and 410,658.40

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Solution

The fourth proportional to 535,938.40, 803,216.40 and 410,658.40 is: 615,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,938.40 : 803,216.40 = 410,658.40 : x
  2. Step 2: Convert to fraction form
    535,938.40/803,216.40 = 410,658.40/x
  3. Step 3: Cross multiply
    535,938.40x = 803,216.40 × 410,658.40
  4. Step 4: Simplify right side
    535,938.40x = 329,847,561,677.76
  5. Step 5: Solve for x
    x = 329,847,561,677.76/535,938.40
  6. Step 6: Final answer
    x = 615,457.97

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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.