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Finding the Fourth Proportional to 706,433.14, 977,444.83 and 615,977.60

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Solution

The fourth proportional to 706,433.14, 977,444.83 and 615,977.60 is: 852,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,433.14 : 977,444.83 = 615,977.60 : x
  2. Step 2: Convert to fraction form
    706,433.14/977,444.83 = 615,977.60/x
  3. Step 3: Cross multiply
    706,433.14x = 977,444.83 × 615,977.60
  4. Step 4: Simplify right side
    706,433.14x = 602,084,120,515.81
  5. Step 5: Solve for x
    x = 602,084,120,515.81/706,433.14
  6. Step 6: Final answer
    x = 852,287.49

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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.