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Finding the Fourth Proportional to 434,476.16, 652,066.32 and 224,174.24

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Solution

The fourth proportional to 434,476.16, 652,066.32 and 224,174.24 is: 336,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,476.16 : 652,066.32 = 224,174.24 : x
  2. Step 2: Convert to fraction form
    434,476.16/652,066.32 = 224,174.24/x
  3. Step 3: Cross multiply
    434,476.16x = 652,066.32 × 224,174.24
  4. Step 4: Simplify right side
    434,476.16x = 146,176,471,715.60
  5. Step 5: Solve for x
    x = 146,176,471,715.60/434,476.16
  6. Step 6: Final answer
    x = 336,443.02

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1.5x scale

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.