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Finding the Fourth Proportional to 1,578,825, 2,178,830.34 and 863,433

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Solution

The fourth proportional to 1,578,825, 2,178,830.34 and 863,433 is: 1,191,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,825 : 2,178,830.34 = 863,433 : x
  2. Step 2: Convert to fraction form
    1,578,825/2,178,830.34 = 863,433/x
  3. Step 3: Cross multiply
    1,578,825x = 2,178,830.34 × 863,433
  4. Step 4: Simplify right side
    1,578,825x = 1,881,274,016,957.22
  5. Step 5: Solve for x
    x = 1,881,274,016,957.22/1,578,825
  6. Step 6: Final answer
    x = 1,191,565.89

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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.