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Finding the Fourth Proportional to 532,995, 735,462.36 and 342,267

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Solution

The fourth proportional to 532,995, 735,462.36 and 342,267 is: 472,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,995 : 735,462.36 = 342,267 : x
  2. Step 2: Convert to fraction form
    532,995/735,462.36 = 342,267/x
  3. Step 3: Cross multiply
    532,995x = 735,462.36 × 342,267
  4. Step 4: Simplify right side
    532,995x = 251,724,495,570.12
  5. Step 5: Solve for x
    x = 251,724,495,570.12/532,995
  6. Step 6: Final answer
    x = 472,283.03

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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.