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Finding the Fourth Proportional to 583,934.76, 805,827.78 and 315,662.76

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Solution

The fourth proportional to 583,934.76, 805,827.78 and 315,662.76 is: 435,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,934.76 : 805,827.78 = 315,662.76 : x
  2. Step 2: Convert to fraction form
    583,934.76/805,827.78 = 315,662.76/x
  3. Step 3: Cross multiply
    583,934.76x = 805,827.78 × 315,662.76
  4. Step 4: Simplify right side
    583,934.76x = 254,369,821,119.47
  5. Step 5: Solve for x
    x = 254,369,821,119.47/583,934.76
  6. Step 6: Final answer
    x = 435,613.43

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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.