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Finding the Fourth Proportional to 535,898.64, 803,097.40 and 402,693.96

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Solution

The fourth proportional to 535,898.64, 803,097.40 and 402,693.96 is: 603,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,898.64 : 803,097.40 = 402,693.96 : x
  2. Step 2: Convert to fraction form
    535,898.64/803,097.40 = 402,693.96/x
  3. Step 3: Cross multiply
    535,898.64x = 803,097.40 × 402,693.96
  4. Step 4: Simplify right side
    535,898.64x = 323,402,472,271.70
  5. Step 5: Solve for x
    x = 323,402,472,271.70/535,898.64
  6. Step 6: Final answer
    x = 603,476.94

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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.