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Finding the Fourth Proportional to 477,210.83, 715,779.04 and 277,403.78

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Solution

The fourth proportional to 477,210.83, 715,779.04 and 277,403.78 is: 416,084.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,210.83 : 715,779.04 = 277,403.78 : x
  2. Step 2: Convert to fraction form
    477,210.83/715,779.04 = 277,403.78/x
  3. Step 3: Cross multiply
    477,210.83x = 715,779.04 × 277,403.78
  4. Step 4: Simplify right side
    477,210.83x = 198,559,811,340.77
  5. Step 5: Solve for x
    x = 198,559,811,340.77/477,210.83
  6. Step 6: Final answer
    x = 416,084.04

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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.