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Finding the Fourth Proportional to 472,364.26, 651,838.53 and 257,483.14

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Solution

The fourth proportional to 472,364.26, 651,838.53 and 257,483.14 is: 355,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,364.26 : 651,838.53 = 257,483.14 : x
  2. Step 2: Convert to fraction form
    472,364.26/651,838.53 = 257,483.14/x
  3. Step 3: Cross multiply
    472,364.26x = 651,838.53 × 257,483.14
  4. Step 4: Simplify right side
    472,364.26x = 167,837,431,477.38
  5. Step 5: Solve for x
    x = 167,837,431,477.38/472,364.26
  6. Step 6: Final answer
    x = 355,313.57

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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.