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Finding the Fourth Proportional to 700,992, 967,368.96 and 383,040

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Solution

The fourth proportional to 700,992, 967,368.96 and 383,040 is: 528,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,992 : 967,368.96 = 383,040 : x
  2. Step 2: Convert to fraction form
    700,992/967,368.96 = 383,040/x
  3. Step 3: Cross multiply
    700,992x = 967,368.96 × 383,040
  4. Step 4: Simplify right side
    700,992x = 370,541,006,438.40
  5. Step 5: Solve for x
    x = 370,541,006,438.40/700,992
  6. Step 6: Final answer
    x = 528,595.20

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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.