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Finding the Fourth Proportional to 604,301.76, 833,937.12 and 336,024

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Solution

The fourth proportional to 604,301.76, 833,937.12 and 336,024 is: 463,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,301.76 : 833,937.12 = 336,024 : x
  2. Step 2: Convert to fraction form
    604,301.76/833,937.12 = 336,024/x
  3. Step 3: Cross multiply
    604,301.76x = 833,937.12 × 336,024
  4. Step 4: Simplify right side
    604,301.76x = 280,222,886,810.88
  5. Step 5: Solve for x
    x = 280,222,886,810.88/604,301.76
  6. Step 6: Final answer
    x = 463,713.50

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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.