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Finding the Fourth Proportional to 543,809.10, 750,435.69 and 302,106.84

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Solution

The fourth proportional to 543,809.10, 750,435.69 and 302,106.84 is: 416,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,809.10 : 750,435.69 = 302,106.84 : x
  2. Step 2: Convert to fraction form
    543,809.10/750,435.69 = 302,106.84/x
  3. Step 3: Cross multiply
    543,809.10x = 750,435.69 × 302,106.84
  4. Step 4: Simplify right side
    543,809.10x = 226,711,754,929.12
  5. Step 5: Solve for x
    x = 226,711,754,929.12/543,809.10
  6. Step 6: Final answer
    x = 416,895.85

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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.