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Finding the Fourth Proportional to 604,283.40, 833,845.68 and 349,587

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Solution

The fourth proportional to 604,283.40, 833,845.68 and 349,587 is: 482,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,283.40 : 833,845.68 = 349,587 : x
  2. Step 2: Convert to fraction form
    604,283.40/833,845.68 = 349,587/x
  3. Step 3: Cross multiply
    604,283.40x = 833,845.68 × 349,587
  4. Step 4: Simplify right side
    604,283.40x = 291,501,609,734.16
  5. Step 5: Solve for x
    x = 291,501,609,734.16/604,283.40
  6. Step 6: Final answer
    x = 482,392.22

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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.