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Finding the Fourth Proportional to 401,472.48, 602,263.80 and 233,071.86

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Solution

The fourth proportional to 401,472.48, 602,263.80 and 233,071.86 is: 349,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,472.48 : 602,263.80 = 233,071.86 : x
  2. Step 2: Convert to fraction form
    401,472.48/602,263.80 = 233,071.86/x
  3. Step 3: Cross multiply
    401,472.48x = 602,263.80 × 233,071.86
  4. Step 4: Simplify right side
    401,472.48x = 140,370,744,076.67
  5. Step 5: Solve for x
    x = 140,370,744,076.67/401,472.48
  6. Step 6: Final answer
    x = 349,639.77

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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.