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Finding the Fourth Proportional to 535,434.61, 803,178.55 and 175,641.73

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Solution

The fourth proportional to 535,434.61, 803,178.55 and 175,641.73 is: 263,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,434.61 : 803,178.55 = 175,641.73 : x
  2. Step 2: Convert to fraction form
    535,434.61/803,178.55 = 175,641.73/x
  3. Step 3: Cross multiply
    535,434.61x = 803,178.55 × 175,641.73
  4. Step 4: Simplify right side
    535,434.61x = 141,071,670,020.89
  5. Step 5: Solve for x
    x = 141,071,670,020.89/535,434.61
  6. Step 6: Final answer
    x = 263,471.33

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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.