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Finding the Fourth Proportional to 507,500.14, 700,424.76 and 292,598.14

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Solution

The fourth proportional to 507,500.14, 700,424.76 and 292,598.14 is: 403,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,500.14 : 700,424.76 = 292,598.14 : x
  2. Step 2: Convert to fraction form
    507,500.14/700,424.76 = 292,598.14/x
  3. Step 3: Cross multiply
    507,500.14x = 700,424.76 × 292,598.14
  4. Step 4: Simplify right side
    507,500.14x = 204,942,981,985.95
  5. Step 5: Solve for x
    x = 204,942,981,985.95/507,500.14
  6. Step 6: Final answer
    x = 403,828.42

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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.