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Finding the Fourth Proportional to 546,378.58, 754,478.29 and 342,779.50

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Solution

The fourth proportional to 546,378.58, 754,478.29 and 342,779.50 is: 473,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,378.58 : 754,478.29 = 342,779.50 : x
  2. Step 2: Convert to fraction form
    546,378.58/754,478.29 = 342,779.50/x
  3. Step 3: Cross multiply
    546,378.58x = 754,478.29 × 342,779.50
  4. Step 4: Simplify right side
    546,378.58x = 258,619,691,007.06
  5. Step 5: Solve for x
    x = 258,619,691,007.06/546,378.58
  6. Step 6: Final answer
    x = 473,334.24

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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.