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Finding the Fourth Proportional to 423,509.67, 584,276.65 and 242,124.14

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Solution

The fourth proportional to 423,509.67, 584,276.65 and 242,124.14 is: 334,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,509.67 : 584,276.65 = 242,124.14 : x
  2. Step 2: Convert to fraction form
    423,509.67/584,276.65 = 242,124.14/x
  3. Step 3: Cross multiply
    423,509.67x = 584,276.65 × 242,124.14
  4. Step 4: Simplify right side
    423,509.67x = 141,467,482,258.71
  5. Step 5: Solve for x
    x = 141,467,482,258.71/423,509.67
  6. Step 6: Final answer
    x = 334,036.01

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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.