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Finding the Fourth Proportional to 841,294.64, 1,160,980.52 and 459,321.42

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Solution

The fourth proportional to 841,294.64, 1,160,980.52 and 459,321.42 is: 633,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,294.64 : 1,160,980.52 = 459,321.42 : x
  2. Step 2: Convert to fraction form
    841,294.64/1,160,980.52 = 459,321.42/x
  3. Step 3: Cross multiply
    841,294.64x = 1,160,980.52 × 459,321.42
  4. Step 4: Simplify right side
    841,294.64x = 533,263,221,038.74
  5. Step 5: Solve for x
    x = 533,263,221,038.74/841,294.64
  6. Step 6: Final answer
    x = 633,860.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.