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Finding the Fourth Proportional to 370,498.10, 511,280.74 and 209,349.69

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Solution

The fourth proportional to 370,498.10, 511,280.74 and 209,349.69 is: 288,898.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,498.10 : 511,280.74 = 209,349.69 : x
  2. Step 2: Convert to fraction form
    370,498.10/511,280.74 = 209,349.69/x
  3. Step 3: Cross multiply
    370,498.10x = 511,280.74 × 209,349.69
  4. Step 4: Simplify right side
    370,498.10x = 107,036,464,421.97
  5. Step 5: Solve for x
    x = 107,036,464,421.97/370,498.10
  6. Step 6: Final answer
    x = 288,898.83

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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.