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Finding the Fourth Proportional to 472,402, 653,081.16 and 452,573.20

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Solution

The fourth proportional to 472,402, 653,081.16 and 452,573.20 is: 625,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,402 : 653,081.16 = 452,573.20 : x
  2. Step 2: Convert to fraction form
    472,402/653,081.16 = 452,573.20/x
  3. Step 3: Cross multiply
    472,402x = 653,081.16 × 452,573.20
  4. Step 4: Simplify right side
    472,402x = 295,567,030,440.91
  5. Step 5: Solve for x
    x = 295,567,030,440.91/472,402
  6. Step 6: Final answer
    x = 625,668.46

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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.