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Finding the Fourth Proportional to 348,312.30, 522,079.65 and 198,624.30

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Solution

The fourth proportional to 348,312.30, 522,079.65 and 198,624.30 is: 297,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,312.30 : 522,079.65 = 198,624.30 : x
  2. Step 2: Convert to fraction form
    348,312.30/522,079.65 = 198,624.30/x
  3. Step 3: Cross multiply
    348,312.30x = 522,079.65 × 198,624.30
  4. Step 4: Simplify right side
    348,312.30x = 103,697,705,025.50
  5. Step 5: Solve for x
    x = 103,697,705,025.50/348,312.30
  6. Step 6: Final answer
    x = 297,714.74

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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.