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Finding the Fourth Proportional to 473,210.16, 653,031 and 258,350.28

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Solution

The fourth proportional to 473,210.16, 653,031 and 258,350.28 is: 356,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,210.16 : 653,031 = 258,350.28 : x
  2. Step 2: Convert to fraction form
    473,210.16/653,031 = 258,350.28/x
  3. Step 3: Cross multiply
    473,210.16x = 653,031 × 258,350.28
  4. Step 4: Simplify right side
    473,210.16x = 168,710,741,698.68
  5. Step 5: Solve for x
    x = 168,710,741,698.68/473,210.16
  6. Step 6: Final answer
    x = 356,523.92

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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.