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Finding the Fourth Proportional to 586,573.28, 809,838 and 403,127.84

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Solution

The fourth proportional to 586,573.28, 809,838 and 403,127.84 is: 556,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,573.28 : 809,838 = 403,127.84 : x
  2. Step 2: Convert to fraction form
    586,573.28/809,838 = 403,127.84/x
  3. Step 3: Cross multiply
    586,573.28x = 809,838 × 403,127.84
  4. Step 4: Simplify right side
    586,573.28x = 326,468,243,689.92
  5. Step 5: Solve for x
    x = 326,468,243,689.92/586,573.28
  6. Step 6: Final answer
    x = 556,568.56

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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.