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Finding the Fourth Proportional to 1,277,332.04, 1,913,829.12 and 770,828.71

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Solution

The fourth proportional to 1,277,332.04, 1,913,829.12 and 770,828.71 is: 1,154,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,332.04 : 1,913,829.12 = 770,828.71 : x
  2. Step 2: Convert to fraction form
    1,277,332.04/1,913,829.12 = 770,828.71/x
  3. Step 3: Cross multiply
    1,277,332.04x = 1,913,829.12 × 770,828.71
  4. Step 4: Simplify right side
    1,277,332.04x = 1,475,234,431,730.04
  5. Step 5: Solve for x
    x = 1,475,234,431,730.04/1,277,332.04
  6. Step 6: Final answer
    x = 1,154,934.18

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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.