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Finding the Fourth Proportional to 473,356.84, 653,228.12 and 258,496.24

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Solution

The fourth proportional to 473,356.84, 653,228.12 and 258,496.24 is: 356,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,356.84 : 653,228.12 = 258,496.24 : x
  2. Step 2: Convert to fraction form
    473,356.84/653,228.12 = 258,496.24/x
  3. Step 3: Cross multiply
    473,356.84x = 653,228.12 × 258,496.24
  4. Step 4: Simplify right side
    473,356.84x = 168,857,012,882.27
  5. Step 5: Solve for x
    x = 168,857,012,882.27/473,356.84
  6. Step 6: Final answer
    x = 356,722.45

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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.