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Finding the Fourth Proportional to 539,192.32, 808,219.12 and 202,012.64

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Solution

The fourth proportional to 539,192.32, 808,219.12 and 202,012.64 is: 302,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,192.32 : 808,219.12 = 202,012.64 : x
  2. Step 2: Convert to fraction form
    539,192.32/808,219.12 = 202,012.64/x
  3. Step 3: Cross multiply
    539,192.32x = 808,219.12 × 202,012.64
  4. Step 4: Simplify right side
    539,192.32x = 163,270,478,129.68
  5. Step 5: Solve for x
    x = 163,270,478,129.68/539,192.32
  6. Step 6: Final answer
    x = 302,805.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.