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Finding the Fourth Proportional to 583,957.64, 805,708.98 and 342,110.18

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Solution

The fourth proportional to 583,957.64, 805,708.98 and 342,110.18 is: 472,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,957.64 : 805,708.98 = 342,110.18 : x
  2. Step 2: Convert to fraction form
    583,957.64/805,708.98 = 342,110.18/x
  3. Step 3: Cross multiply
    583,957.64x = 805,708.98 × 342,110.18
  4. Step 4: Simplify right side
    583,957.64x = 275,641,240,146.87
  5. Step 5: Solve for x
    x = 275,641,240,146.87/583,957.64
  6. Step 6: Final answer
    x = 472,022.67

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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.