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Finding the Fourth Proportional to 401,957.36, 602,147.78 and 233,123.08

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Solution

The fourth proportional to 401,957.36, 602,147.78 and 233,123.08 is: 349,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,957.36 : 602,147.78 = 233,123.08 : x
  2. Step 2: Convert to fraction form
    401,957.36/602,147.78 = 233,123.08/x
  3. Step 3: Cross multiply
    401,957.36x = 602,147.78 × 233,123.08
  4. Step 4: Simplify right side
    401,957.36x = 140,374,545,088.76
  5. Step 5: Solve for x
    x = 140,374,545,088.76/401,957.36
  6. Step 6: Final answer
    x = 349,227.45

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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.