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Finding the Fourth Proportional to 543,534.19, 815,445.87 and 188,547.64

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Solution

The fourth proportional to 543,534.19, 815,445.87 and 188,547.64 is: 282,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,534.19 : 815,445.87 = 188,547.64 : x
  2. Step 2: Convert to fraction form
    543,534.19/815,445.87 = 188,547.64/x
  3. Step 3: Cross multiply
    543,534.19x = 815,445.87 × 188,547.64
  4. Step 4: Simplify right side
    543,534.19x = 153,750,391,590.58
  5. Step 5: Solve for x
    x = 153,750,391,590.58/543,534.19
  6. Step 6: Final answer
    x = 282,871.61

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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.