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Finding the Fourth Proportional to 342,509.16, 472,684.50 and 191,607.24

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Solution

The fourth proportional to 342,509.16, 472,684.50 and 191,607.24 is: 264,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,509.16 : 472,684.50 = 191,607.24 : x
  2. Step 2: Convert to fraction form
    342,509.16/472,684.50 = 191,607.24/x
  3. Step 3: Cross multiply
    342,509.16x = 472,684.50 × 191,607.24
  4. Step 4: Simplify right side
    342,509.16x = 90,569,772,435.78
  5. Step 5: Solve for x
    x = 90,569,772,435.78/342,509.16
  6. Step 6: Final answer
    x = 264,430.22

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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.