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Finding the Fourth Proportional to 474,058.78, 711,108.93 and 137,133.49

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Solution

The fourth proportional to 474,058.78, 711,108.93 and 137,133.49 is: 205,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,058.78 : 711,108.93 = 137,133.49 : x
  2. Step 2: Convert to fraction form
    474,058.78/711,108.93 = 137,133.49/x
  3. Step 3: Cross multiply
    474,058.78x = 711,108.93 × 137,133.49
  4. Step 4: Simplify right side
    474,058.78x = 97,516,849,341.07
  5. Step 5: Solve for x
    x = 97,516,849,341.07/474,058.78
  6. Step 6: Final answer
    x = 205,706.24

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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.