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Finding the Fourth Proportional to 415,999.78, 574,030.32 and 234,701.12

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Solution

The fourth proportional to 415,999.78, 574,030.32 and 234,701.12 is: 323,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,999.78 : 574,030.32 = 234,701.12 : x
  2. Step 2: Convert to fraction form
    415,999.78/574,030.32 = 234,701.12/x
  3. Step 3: Cross multiply
    415,999.78x = 574,030.32 × 234,701.12
  4. Step 4: Simplify right side
    415,999.78x = 134,725,559,017.96
  5. Step 5: Solve for x
    x = 134,725,559,017.96/415,999.78
  6. Step 6: Final answer
    x = 323,859.69

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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.