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Finding the Fourth Proportional to 473,785.84, 710,790.18 and 153,936.64

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Solution

The fourth proportional to 473,785.84, 710,790.18 and 153,936.64 is: 230,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,785.84 : 710,790.18 = 153,936.64 : x
  2. Step 2: Convert to fraction form
    473,785.84/710,790.18 = 153,936.64/x
  3. Step 3: Cross multiply
    473,785.84x = 710,790.18 × 153,936.64
  4. Step 4: Simplify right side
    473,785.84x = 109,416,652,054.20
  5. Step 5: Solve for x
    x = 109,416,652,054.20/473,785.84
  6. Step 6: Final answer
    x = 230,941.16

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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.