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Finding the Fourth Proportional to 583,669, 805,475.52 and 329,020.19

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Solution

The fourth proportional to 583,669, 805,475.52 and 329,020.19 is: 454,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,669 : 805,475.52 = 329,020.19 : x
  2. Step 2: Convert to fraction form
    583,669/805,475.52 = 329,020.19/x
  3. Step 3: Cross multiply
    583,669x = 805,475.52 × 329,020.19
  4. Step 4: Simplify right side
    583,669x = 265,017,708,630.75
  5. Step 5: Solve for x
    x = 265,017,708,630.75/583,669
  6. Step 6: Final answer
    x = 454,054.80

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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.