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Finding the Fourth Proportional to 537,178.77, 741,307.10 and 295,479.74

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Solution

The fourth proportional to 537,178.77, 741,307.10 and 295,479.74 is: 407,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,178.77 : 741,307.10 = 295,479.74 : x
  2. Step 2: Convert to fraction form
    537,178.77/741,307.10 = 295,479.74/x
  3. Step 3: Cross multiply
    537,178.77x = 741,307.10 × 295,479.74
  4. Step 4: Simplify right side
    537,178.77x = 219,041,229,544.02
  5. Step 5: Solve for x
    x = 219,041,229,544.02/537,178.77
  6. Step 6: Final answer
    x = 407,762.26

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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.