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Finding the Fourth Proportional to 447,051.72, 616,947.60 and 256,102.02

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Solution

The fourth proportional to 447,051.72, 616,947.60 and 256,102.02 is: 353,430.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,051.72 : 616,947.60 = 256,102.02 : x
  2. Step 2: Convert to fraction form
    447,051.72/616,947.60 = 256,102.02/x
  3. Step 3: Cross multiply
    447,051.72x = 616,947.60 × 256,102.02
  4. Step 4: Simplify right side
    447,051.72x = 158,001,527,554.54
  5. Step 5: Solve for x
    x = 158,001,527,554.54/447,051.72
  6. Step 6: Final answer
    x = 353,430.08

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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.