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Finding the Fourth Proportional to 556,065.92, 830,029.42 and 477,683.84

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Solution

The fourth proportional to 556,065.92, 830,029.42 and 477,683.84 is: 713,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,065.92 : 830,029.42 = 477,683.84 : x
  2. Step 2: Convert to fraction form
    556,065.92/830,029.42 = 477,683.84/x
  3. Step 3: Cross multiply
    556,065.92x = 830,029.42 × 477,683.84
  4. Step 4: Simplify right side
    556,065.92x = 396,491,640,658.57
  5. Step 5: Solve for x
    x = 396,491,640,658.57/556,065.92
  6. Step 6: Final answer
    x = 713,029.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.