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Finding the Fourth Proportional to 473,667.64, 710,549.24 and 153,806.12

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Solution

The fourth proportional to 473,667.64, 710,549.24 and 153,806.12 is: 230,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,667.64 : 710,549.24 = 153,806.12 : x
  2. Step 2: Convert to fraction form
    473,667.64/710,549.24 = 153,806.12/x
  3. Step 3: Cross multiply
    473,667.64x = 710,549.24 × 153,806.12
  4. Step 4: Simplify right side
    473,667.64x = 109,286,821,673.35
  5. Step 5: Solve for x
    x = 109,286,821,673.35/473,667.64
  6. Step 6: Final answer
    x = 230,724.69

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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.