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Finding the Fourth Proportional to 366,974, 506,425.04 and 214,117.28

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Solution

The fourth proportional to 366,974, 506,425.04 and 214,117.28 is: 295,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,974 : 506,425.04 = 214,117.28 : x
  2. Step 2: Convert to fraction form
    366,974/506,425.04 = 214,117.28/x
  3. Step 3: Cross multiply
    366,974x = 506,425.04 × 214,117.28
  4. Step 4: Simplify right side
    366,974x = 108,434,352,088.69
  5. Step 5: Solve for x
    x = 108,434,352,088.69/366,974
  6. Step 6: Final answer
    x = 295,482.38

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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.