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Finding the Fourth Proportional to 473,548, 653,488.04 and 258,682.54

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Solution

The fourth proportional to 473,548, 653,488.04 and 258,682.54 is: 356,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,548 : 653,488.04 = 258,682.54 : x
  2. Step 2: Convert to fraction form
    473,548/653,488.04 = 258,682.54/x
  3. Step 3: Cross multiply
    473,548x = 653,488.04 × 258,682.54
  4. Step 4: Simplify right side
    473,548x = 169,045,946,046.82
  5. Step 5: Solve for x
    x = 169,045,946,046.82/473,548
  6. Step 6: Final answer
    x = 356,977.43

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1.5x scale

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.