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Finding the Fourth Proportional to 817,647, 1,128,370.14 and 459,951

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Solution

The fourth proportional to 817,647, 1,128,370.14 and 459,951 is: 634,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,647 : 1,128,370.14 = 459,951 : x
  2. Step 2: Convert to fraction form
    817,647/1,128,370.14 = 459,951/x
  3. Step 3: Cross multiply
    817,647x = 1,128,370.14 × 459,951
  4. Step 4: Simplify right side
    817,647x = 518,994,974,263.14
  5. Step 5: Solve for x
    x = 518,994,974,263.14/817,647
  6. Step 6: Final answer
    x = 634,742.10

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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.