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Finding the Fourth Proportional to 841,671.32, 1,161,506.42 and 459,699

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Solution

The fourth proportional to 841,671.32, 1,161,506.42 and 459,699 is: 634,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,671.32 : 1,161,506.42 = 459,699 : x
  2. Step 2: Convert to fraction form
    841,671.32/1,161,506.42 = 459,699/x
  3. Step 3: Cross multiply
    841,671.32x = 1,161,506.42 × 459,699
  4. Step 4: Simplify right side
    841,671.32x = 533,943,339,767.58
  5. Step 5: Solve for x
    x = 533,943,339,767.58/841,671.32
  6. Step 6: Final answer
    x = 634,384.62

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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.