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Finding the Fourth Proportional to 477,643.83, 659,148.47 and 262,779.29

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Solution

The fourth proportional to 477,643.83, 659,148.47 and 262,779.29 is: 362,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,643.83 : 659,148.47 = 262,779.29 : x
  2. Step 2: Convert to fraction form
    477,643.83/659,148.47 = 262,779.29/x
  3. Step 3: Cross multiply
    477,643.83x = 659,148.47 × 262,779.29
  4. Step 4: Simplify right side
    477,643.83x = 173,210,562,341.55
  5. Step 5: Solve for x
    x = 173,210,562,341.55/477,643.83
  6. Step 6: Final answer
    x = 362,635.40

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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.