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Finding the Fourth Proportional to 473,669.64, 710,552.24 and 153,808.12

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Solution

The fourth proportional to 473,669.64, 710,552.24 and 153,808.12 is: 230,727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,669.64 : 710,552.24 = 153,808.12 : x
  2. Step 2: Convert to fraction form
    473,669.64/710,552.24 = 153,808.12/x
  3. Step 3: Cross multiply
    473,669.64x = 710,552.24 × 153,808.12
  4. Step 4: Simplify right side
    473,669.64x = 109,288,704,196.19
  5. Step 5: Solve for x
    x = 109,288,704,196.19/473,669.64
  6. Step 6: Final answer
    x = 230,727.69

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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.