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Finding the Fourth Proportional to 583,935.76, 805,829.16 and 315,663.76

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Solution

The fourth proportional to 583,935.76, 805,829.16 and 315,663.76 is: 435,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,935.76 : 805,829.16 = 315,663.76 : x
  2. Step 2: Convert to fraction form
    583,935.76/805,829.16 = 315,663.76/x
  3. Step 3: Cross multiply
    583,935.76x = 805,829.16 × 315,663.76
  4. Step 4: Simplify right side
    583,935.76x = 254,371,062,563.24
  5. Step 5: Solve for x
    x = 254,371,062,563.24/583,935.76
  6. Step 6: Final answer
    x = 435,614.81

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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.