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Finding the Fourth Proportional to 423,034.32, 583,783.76 and 232,044.24

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Solution

The fourth proportional to 423,034.32, 583,783.76 and 232,044.24 is: 320,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,034.32 : 583,783.76 = 232,044.24 : x
  2. Step 2: Convert to fraction form
    423,034.32/583,783.76 = 232,044.24/x
  3. Step 3: Cross multiply
    423,034.32x = 583,783.76 × 232,044.24
  4. Step 4: Simplify right side
    423,034.32x = 135,463,658,913.54
  5. Step 5: Solve for x
    x = 135,463,658,913.54/423,034.32
  6. Step 6: Final answer
    x = 320,219.08

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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.