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Finding the Fourth Proportional to 592,643, 817,853.10 and 324,376.76

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Solution

The fourth proportional to 592,643, 817,853.10 and 324,376.76 is: 447,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,643 : 817,853.10 = 324,376.76 : x
  2. Step 2: Convert to fraction form
    592,643/817,853.10 = 324,376.76/x
  3. Step 3: Cross multiply
    592,643x = 817,853.10 × 324,376.76
  4. Step 4: Simplify right side
    592,643x = 265,292,538,733.96
  5. Step 5: Solve for x
    x = 265,292,538,733.96/592,643
  6. Step 6: Final answer
    x = 447,643.08

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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.