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Finding the Fourth Proportional to 378,373.69, 522,152.25 and 208,607.83

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Solution

The fourth proportional to 378,373.69, 522,152.25 and 208,607.83 is: 287,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,373.69 : 522,152.25 = 208,607.83 : x
  2. Step 2: Convert to fraction form
    378,373.69/522,152.25 = 208,607.83/x
  3. Step 3: Cross multiply
    378,373.69x = 522,152.25 × 208,607.83
  4. Step 4: Simplify right side
    378,373.69x = 108,925,047,802.12
  5. Step 5: Solve for x
    x = 108,925,047,802.12/378,373.69
  6. Step 6: Final answer
    x = 287,876.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.