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Finding the Fourth Proportional to 398,341.24, 549,705.93 and 217,048.48

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Solution

The fourth proportional to 398,341.24, 549,705.93 and 217,048.48 is: 299,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,341.24 : 549,705.93 = 217,048.48 : x
  2. Step 2: Convert to fraction form
    398,341.24/549,705.93 = 217,048.48/x
  3. Step 3: Cross multiply
    398,341.24x = 549,705.93 × 217,048.48
  4. Step 4: Simplify right side
    398,341.24x = 119,312,836,553.49
  5. Step 5: Solve for x
    x = 119,312,836,553.49/398,341.24
  6. Step 6: Final answer
    x = 299,524.19

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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.