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Finding the Fourth Proportional to 514,353, 709,643.13 and 333,203.82

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Solution

The fourth proportional to 514,353, 709,643.13 and 333,203.82 is: 459,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,353 : 709,643.13 = 333,203.82 : x
  2. Step 2: Convert to fraction form
    514,353/709,643.13 = 333,203.82/x
  3. Step 3: Cross multiply
    514,353x = 709,643.13 × 333,203.82
  4. Step 4: Simplify right side
    514,353x = 236,455,801,752.76
  5. Step 5: Solve for x
    x = 236,455,801,752.76/514,353
  6. Step 6: Final answer
    x = 459,715.02

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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.