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Finding the Fourth Proportional to 543,095.10, 749,506.32 and 301,378.20

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Solution

The fourth proportional to 543,095.10, 749,506.32 and 301,378.20 is: 415,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,095.10 : 749,506.32 = 301,378.20 : x
  2. Step 2: Convert to fraction form
    543,095.10/749,506.32 = 301,378.20/x
  3. Step 3: Cross multiply
    543,095.10x = 749,506.32 × 301,378.20
  4. Step 4: Simplify right side
    543,095.10x = 225,884,865,610.22
  5. Step 5: Solve for x
    x = 225,884,865,610.22/543,095.10
  6. Step 6: Final answer
    x = 415,921.38

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1.5x scale

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.