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Finding the Fourth Proportional to 348,038.30, 522,057.45 and 208,070.30

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Solution

The fourth proportional to 348,038.30, 522,057.45 and 208,070.30 is: 312,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,038.30 : 522,057.45 = 208,070.30 : x
  2. Step 2: Convert to fraction form
    348,038.30/522,057.45 = 208,070.30/x
  3. Step 3: Cross multiply
    348,038.30x = 522,057.45 × 208,070.30
  4. Step 4: Simplify right side
    348,038.30x = 108,624,650,238.74
  5. Step 5: Solve for x
    x = 108,624,650,238.74/348,038.30
  6. Step 6: Final answer
    x = 312,105.45

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Similar ratio
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1.5x scale

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.