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Finding the Fourth Proportional to 524,642.51, 785,334.74 and 284,159.14

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Solution

The fourth proportional to 524,642.51, 785,334.74 and 284,159.14 is: 425,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,642.51 : 785,334.74 = 284,159.14 : x
  2. Step 2: Convert to fraction form
    524,642.51/785,334.74 = 284,159.14/x
  3. Step 3: Cross multiply
    524,642.51x = 785,334.74 × 284,159.14
  4. Step 4: Simplify right side
    524,642.51x = 223,160,040,946.39
  5. Step 5: Solve for x
    x = 223,160,040,946.39/524,642.51
  6. Step 6: Final answer
    x = 425,356.38

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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.