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Finding the Fourth Proportional to 507,038.19, 699,751.56 and 289,251.66

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Solution

The fourth proportional to 507,038.19, 699,751.56 and 289,251.66 is: 399,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,038.19 : 699,751.56 = 289,251.66 : x
  2. Step 2: Convert to fraction form
    507,038.19/699,751.56 = 289,251.66/x
  3. Step 3: Cross multiply
    507,038.19x = 699,751.56 × 289,251.66
  4. Step 4: Simplify right side
    507,038.19x = 202,404,298,778.22
  5. Step 5: Solve for x
    x = 202,404,298,778.22/507,038.19
  6. Step 6: Final answer
    x = 399,189.46

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Double scale
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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.