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Finding the Fourth Proportional to 456,424.48, 684,066.48 and 219,703.84

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Solution

The fourth proportional to 456,424.48, 684,066.48 and 219,703.84 is: 329,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,424.48 : 684,066.48 = 219,703.84 : x
  2. Step 2: Convert to fraction form
    456,424.48/684,066.48 = 219,703.84/x
  3. Step 3: Cross multiply
    456,424.48x = 684,066.48 × 219,703.84
  4. Step 4: Simplify right side
    456,424.48x = 150,292,032,471.28
  5. Step 5: Solve for x
    x = 150,292,032,471.28/456,424.48
  6. Step 6: Final answer
    x = 329,281.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.