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Finding the Fourth Proportional to 475,953.40, 714,275.38 and 383,574.52

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Solution

The fourth proportional to 475,953.40, 714,275.38 and 383,574.52 is: 575,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,953.40 : 714,275.38 = 383,574.52 : x
  2. Step 2: Convert to fraction form
    475,953.40/714,275.38 = 383,574.52/x
  3. Step 3: Cross multiply
    475,953.40x = 714,275.38 × 383,574.52
  4. Step 4: Simplify right side
    475,953.40x = 273,977,836,031.32
  5. Step 5: Solve for x
    x = 273,977,836,031.32/475,953.40
  6. Step 6: Final answer
    x = 575,640.04

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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.