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Finding the Fourth Proportional to 370,031.19, 510,643.05 and 200,265.32

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Solution

The fourth proportional to 370,031.19, 510,643.05 and 200,265.32 is: 276,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,031.19 : 510,643.05 = 200,265.32 : x
  2. Step 2: Convert to fraction form
    370,031.19/510,643.05 = 200,265.32/x
  3. Step 3: Cross multiply
    370,031.19x = 510,643.05 × 200,265.32
  4. Step 4: Simplify right side
    370,031.19x = 102,264,091,260.81
  5. Step 5: Solve for x
    x = 102,264,091,260.81/370,031.19
  6. Step 6: Final answer
    x = 276,366.14

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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.