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Finding the Fourth Proportional to 830,756.64, 1,146,477.84 and 468,195.68

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Solution

The fourth proportional to 830,756.64, 1,146,477.84 and 468,195.68 is: 646,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,756.64 : 1,146,477.84 = 468,195.68 : x
  2. Step 2: Convert to fraction form
    830,756.64/1,146,477.84 = 468,195.68/x
  3. Step 3: Cross multiply
    830,756.64x = 1,146,477.84 × 468,195.68
  4. Step 4: Simplify right side
    830,756.64x = 536,775,971,903.73
  5. Step 5: Solve for x
    x = 536,775,971,903.73/830,756.64
  6. Step 6: Final answer
    x = 646,129.02

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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.