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Finding the Fourth Proportional to 562,024.85, 842,699.64 and 258,038.60

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Solution

The fourth proportional to 562,024.85, 842,699.64 and 258,038.60 is: 386,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,024.85 : 842,699.64 = 258,038.60 : x
  2. Step 2: Convert to fraction form
    562,024.85/842,699.64 = 258,038.60/x
  3. Step 3: Cross multiply
    562,024.85x = 842,699.64 × 258,038.60
  4. Step 4: Simplify right side
    562,024.85x = 217,449,038,400.50
  5. Step 5: Solve for x
    x = 217,449,038,400.50/562,024.85
  6. Step 6: Final answer
    x = 386,902.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.