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Finding the Fourth Proportional to 473,538.42, 710,484.09 and 284,134.72

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Solution

The fourth proportional to 473,538.42, 710,484.09 and 284,134.72 is: 426,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,538.42 : 710,484.09 = 284,134.72 : x
  2. Step 2: Convert to fraction form
    473,538.42/710,484.09 = 284,134.72/x
  3. Step 3: Cross multiply
    473,538.42x = 710,484.09 × 284,134.72
  4. Step 4: Simplify right side
    473,538.42x = 201,873,199,752.82
  5. Step 5: Solve for x
    x = 201,873,199,752.82/473,538.42
  6. Step 6: Final answer
    x = 426,307.97

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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.