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Finding the Fourth Proportional to 304,689.26, 456,754 and 104,962.16

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Solution

The fourth proportional to 304,689.26, 456,754 and 104,962.16 is: 157,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,689.26 : 456,754 = 104,962.16 : x
  2. Step 2: Convert to fraction form
    304,689.26/456,754 = 104,962.16/x
  3. Step 3: Cross multiply
    304,689.26x = 456,754 × 104,962.16
  4. Step 4: Simplify right side
    304,689.26x = 47,941,886,428.64
  5. Step 5: Solve for x
    x = 47,941,886,428.64/304,689.26
  6. Step 6: Final answer
    x = 157,346.82

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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.