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Finding the Fourth Proportional to 286,714.20, 430,071.30 and 146,746.20

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Solution

The fourth proportional to 286,714.20, 430,071.30 and 146,746.20 is: 220,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,714.20 : 430,071.30 = 146,746.20 : x
  2. Step 2: Convert to fraction form
    286,714.20/430,071.30 = 146,746.20/x
  3. Step 3: Cross multiply
    286,714.20x = 430,071.30 × 146,746.20
  4. Step 4: Simplify right side
    286,714.20x = 63,111,329,004.06
  5. Step 5: Solve for x
    x = 63,111,329,004.06/286,714.20
  6. Step 6: Final answer
    x = 220,119.30

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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.