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Finding the Fourth Proportional to 473,877.83, 710,941.24 and 170,302.64

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Solution

The fourth proportional to 473,877.83, 710,941.24 and 170,302.64 is: 255,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,877.83 : 710,941.24 = 170,302.64 : x
  2. Step 2: Convert to fraction form
    473,877.83/710,941.24 = 170,302.64/x
  3. Step 3: Cross multiply
    473,877.83x = 710,941.24 × 170,302.64
  4. Step 4: Simplify right side
    473,877.83x = 121,075,165,757.09
  5. Step 5: Solve for x
    x = 121,075,165,757.09/473,877.83
  6. Step 6: Final answer
    x = 255,498.69

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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.