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Finding the Fourth Proportional to 519,881.94, 778,048.56 and 435,737.16

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Solution

The fourth proportional to 519,881.94, 778,048.56 and 435,737.16 is: 652,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,881.94 : 778,048.56 = 435,737.16 : x
  2. Step 2: Convert to fraction form
    519,881.94/778,048.56 = 435,737.16/x
  3. Step 3: Cross multiply
    519,881.94x = 778,048.56 × 435,737.16
  4. Step 4: Simplify right side
    519,881.94x = 339,024,669,876.49
  5. Step 5: Solve for x
    x = 339,024,669,876.49/519,881.94
  6. Step 6: Final answer
    x = 652,118.57

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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.