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Finding the Fourth Proportional to 514,455.66, 709,953.78 and 285,017.82

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Solution

The fourth proportional to 514,455.66, 709,953.78 and 285,017.82 is: 393,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,455.66 : 709,953.78 = 285,017.82 : x
  2. Step 2: Convert to fraction form
    514,455.66/709,953.78 = 285,017.82/x
  3. Step 3: Cross multiply
    514,455.66x = 709,953.78 × 285,017.82
  4. Step 4: Simplify right side
    514,455.66x = 202,349,478,676.36
  5. Step 5: Solve for x
    x = 202,349,478,676.36/514,455.66
  6. Step 6: Final answer
    x = 393,327.34

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1.5x scale

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.