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Finding the Fourth Proportional to 837,424.64, 1,155,857.76 and 475,064.48

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Solution

The fourth proportional to 837,424.64, 1,155,857.76 and 475,064.48 is: 655,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,424.64 : 1,155,857.76 = 475,064.48 : x
  2. Step 2: Convert to fraction form
    837,424.64/1,155,857.76 = 475,064.48/x
  3. Step 3: Cross multiply
    837,424.64x = 1,155,857.76 × 475,064.48
  4. Step 4: Simplify right side
    837,424.64x = 549,106,965,708.37
  5. Step 5: Solve for x
    x = 549,106,965,708.37/837,424.64
  6. Step 6: Final answer
    x = 655,709.11

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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.