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Finding the Fourth Proportional to 830,802.52, 1,146,507.46 and 468,239.64

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Solution

The fourth proportional to 830,802.52, 1,146,507.46 and 468,239.64 is: 646,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,802.52 : 1,146,507.46 = 468,239.64 : x
  2. Step 2: Convert to fraction form
    830,802.52/1,146,507.46 = 468,239.64/x
  3. Step 3: Cross multiply
    830,802.52x = 1,146,507.46 × 468,239.64
  4. Step 4: Simplify right side
    830,802.52x = 536,840,240,327.71
  5. Step 5: Solve for x
    x = 536,840,240,327.71/830,802.52
  6. Step 6: Final answer
    x = 646,170.69

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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.