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Finding the Fourth Proportional to 472,356.72, 651,833.64 and 257,492.16

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Solution

The fourth proportional to 472,356.72, 651,833.64 and 257,492.16 is: 355,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,356.72 : 651,833.64 = 257,492.16 : x
  2. Step 2: Convert to fraction form
    472,356.72/651,833.64 = 257,492.16/x
  3. Step 3: Cross multiply
    472,356.72x = 651,833.64 × 257,492.16
  4. Step 4: Simplify right side
    472,356.72x = 167,842,051,924.26
  5. Step 5: Solve for x
    x = 167,842,051,924.26/472,356.72
  6. Step 6: Final answer
    x = 355,329.02

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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.