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Finding the Fourth Proportional to 1,315,966.83, 1,974,680.12 and 642,053.71

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Solution

The fourth proportional to 1,315,966.83, 1,974,680.12 and 642,053.71 is: 963,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,966.83 : 1,974,680.12 = 642,053.71 : x
  2. Step 2: Convert to fraction form
    1,315,966.83/1,974,680.12 = 642,053.71/x
  3. Step 3: Cross multiply
    1,315,966.83x = 1,974,680.12 × 642,053.71
  4. Step 4: Simplify right side
    1,315,966.83x = 1,267,850,697,109.25
  5. Step 5: Solve for x
    x = 1,267,850,697,109.25/1,315,966.83
  6. Step 6: Final answer
    x = 963,436.67

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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.