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Finding the Fourth Proportional to 595,931.20, 893,896.80 and 477,833.20

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Solution

The fourth proportional to 595,931.20, 893,896.80 and 477,833.20 is: 716,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,931.20 : 893,896.80 = 477,833.20 : x
  2. Step 2: Convert to fraction form
    595,931.20/893,896.80 = 477,833.20/x
  3. Step 3: Cross multiply
    595,931.20x = 893,896.80 × 477,833.20
  4. Step 4: Simplify right side
    595,931.20x = 427,133,568,413.76
  5. Step 5: Solve for x
    x = 427,133,568,413.76/595,931.20
  6. Step 6: Final answer
    x = 716,749.80

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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.