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Finding the Fourth Proportional to 477,742.32, 659,300.04 and 262,897.92

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Solution

The fourth proportional to 477,742.32, 659,300.04 and 262,897.92 is: 362,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,742.32 : 659,300.04 = 262,897.92 : x
  2. Step 2: Convert to fraction form
    477,742.32/659,300.04 = 262,897.92/x
  3. Step 3: Cross multiply
    477,742.32x = 659,300.04 × 262,897.92
  4. Step 4: Simplify right side
    477,742.32x = 173,328,609,171.92
  5. Step 5: Solve for x
    x = 173,328,609,171.92/477,742.32
  6. Step 6: Final answer
    x = 362,807.74

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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.