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Finding the Fourth Proportional to 473,228.70, 653,052.20 and 258,368.78

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Solution

The fourth proportional to 473,228.70, 653,052.20 and 258,368.78 is: 356,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,228.70 : 653,052.20 = 258,368.78 : x
  2. Step 2: Convert to fraction form
    473,228.70/653,052.20 = 258,368.78/x
  3. Step 3: Cross multiply
    473,228.70x = 653,052.20 × 258,368.78
  4. Step 4: Simplify right side
    473,228.70x = 168,728,295,633.21
  5. Step 5: Solve for x
    x = 168,728,295,633.21/473,228.70
  6. Step 6: Final answer
    x = 356,547.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.