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Finding the Fourth Proportional to 497,691.36, 747,018 and 470,718.24

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Solution

The fourth proportional to 497,691.36, 747,018 and 470,718.24 is: 706,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,691.36 : 747,018 = 470,718.24 : x
  2. Step 2: Convert to fraction form
    497,691.36/747,018 = 470,718.24/x
  3. Step 3: Cross multiply
    497,691.36x = 747,018 × 470,718.24
  4. Step 4: Simplify right side
    497,691.36x = 351,634,998,208.32
  5. Step 5: Solve for x
    x = 351,634,998,208.32/497,691.36
  6. Step 6: Final answer
    x = 706,532.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.