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Finding the Fourth Proportional to 1,219,992.98, 1,829,639.54 and 471,864.02

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Solution

The fourth proportional to 1,219,992.98, 1,829,639.54 and 471,864.02 is: 707,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219,992.98 : 1,829,639.54 = 471,864.02 : x
  2. Step 2: Convert to fraction form
    1,219,992.98/1,829,639.54 = 471,864.02/x
  3. Step 3: Cross multiply
    1,219,992.98x = 1,829,639.54 × 471,864.02
  4. Step 4: Simplify right side
    1,219,992.98x = 863,341,060,526.81
  5. Step 5: Solve for x
    x = 863,341,060,526.81/1,219,992.98
  6. Step 6: Final answer
    x = 707,660.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.