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Finding the Fourth Proportional to 314,054.70, 433,210.82 and 197,582.91

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Solution

The fourth proportional to 314,054.70, 433,210.82 and 197,582.91 is: 272,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,054.70 : 433,210.82 = 197,582.91 : x
  2. Step 2: Convert to fraction form
    314,054.70/433,210.82 = 197,582.91/x
  3. Step 3: Cross multiply
    314,054.70x = 433,210.82 × 197,582.91
  4. Step 4: Simplify right side
    314,054.70x = 85,595,053,471.17
  5. Step 5: Solve for x
    x = 85,595,053,471.17/314,054.70
  6. Step 6: Final answer
    x = 272,548.23

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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.