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Finding the Fourth Proportional to 423,506.59, 584,272.40 and 242,121.06

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Solution

The fourth proportional to 423,506.59, 584,272.40 and 242,121.06 is: 334,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,506.59 : 584,272.40 = 242,121.06 : x
  2. Step 2: Convert to fraction form
    423,506.59/584,272.40 = 242,121.06/x
  3. Step 3: Cross multiply
    423,506.59x = 584,272.40 × 242,121.06
  4. Step 4: Simplify right side
    423,506.59x = 141,464,651,606.14
  5. Step 5: Solve for x
    x = 141,464,651,606.14/423,506.59
  6. Step 6: Final answer
    x = 334,031.76

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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.