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Finding the Fourth Proportional to 423,419.24, 584,365.05 and 242,148.03

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Solution

The fourth proportional to 423,419.24, 584,365.05 and 242,148.03 is: 334,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,419.24 : 584,365.05 = 242,148.03 : x
  2. Step 2: Convert to fraction form
    423,419.24/584,365.05 = 242,148.03/x
  3. Step 3: Cross multiply
    423,419.24x = 584,365.05 × 242,148.03
  4. Step 4: Simplify right side
    423,419.24x = 141,502,845,658.35
  5. Step 5: Solve for x
    x = 141,502,845,658.35/423,419.24
  6. Step 6: Final answer
    x = 334,190.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.