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Finding the Fourth Proportional to 713,804.16, 1,070,805.24 and 240,624.84

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Solution

The fourth proportional to 713,804.16, 1,070,805.24 and 240,624.84 is: 360,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,804.16 : 1,070,805.24 = 240,624.84 : x
  2. Step 2: Convert to fraction form
    713,804.16/1,070,805.24 = 240,624.84/x
  3. Step 3: Cross multiply
    713,804.16x = 1,070,805.24 × 240,624.84
  4. Step 4: Simplify right side
    713,804.16x = 257,662,339,546.16
  5. Step 5: Solve for x
    x = 257,662,339,546.16/713,804.16
  6. Step 6: Final answer
    x = 360,970.63

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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.