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Finding the Fourth Proportional to 507,298.48, 700,079.16 and 292,434.64

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Solution

The fourth proportional to 507,298.48, 700,079.16 and 292,434.64 is: 403,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,298.48 : 700,079.16 = 292,434.64 : x
  2. Step 2: Convert to fraction form
    507,298.48/700,079.16 = 292,434.64/x
  3. Step 3: Cross multiply
    507,298.48x = 700,079.16 × 292,434.64
  4. Step 4: Simplify right side
    507,298.48x = 204,727,397,126.10
  5. Step 5: Solve for x
    x = 204,727,397,126.10/507,298.48
  6. Step 6: Final answer
    x = 403,563.99

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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.