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Finding the Fourth Proportional to 423,513.30, 584,281.68 and 242,127.78

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Solution

The fourth proportional to 423,513.30, 584,281.68 and 242,127.78 is: 334,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,513.30 : 584,281.68 = 242,127.78 : x
  2. Step 2: Convert to fraction form
    423,513.30/584,281.68 = 242,127.78/x
  3. Step 3: Cross multiply
    423,513.30x = 584,281.68 × 242,127.78
  4. Step 4: Simplify right side
    423,513.30x = 141,470,826,073.07
  5. Step 5: Solve for x
    x = 141,470,826,073.07/423,513.30
  6. Step 6: Final answer
    x = 334,041.05

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