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Finding the Fourth Proportional to 537,384.16, 741,307.49 and 319,437.81

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Solution

The fourth proportional to 537,384.16, 741,307.49 and 319,437.81 is: 440,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,384.16 : 741,307.49 = 319,437.81 : x
  2. Step 2: Convert to fraction form
    537,384.16/741,307.49 = 319,437.81/x
  3. Step 3: Cross multiply
    537,384.16x = 741,307.49 × 319,437.81
  4. Step 4: Simplify right side
    537,384.16x = 236,801,638,954.60
  5. Step 5: Solve for x
    x = 236,801,638,954.60/537,384.16
  6. Step 6: Final answer
    x = 440,656.16

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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.