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Finding the Fourth Proportional to 702,051.56, 967,823.46 and 500,497.64

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Solution

The fourth proportional to 702,051.56, 967,823.46 and 500,497.64 is: 689,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,051.56 : 967,823.46 = 500,497.64 : x
  2. Step 2: Convert to fraction form
    702,051.56/967,823.46 = 500,497.64/x
  3. Step 3: Cross multiply
    702,051.56x = 967,823.46 × 500,497.64
  4. Step 4: Simplify right side
    702,051.56x = 484,393,357,666.63
  5. Step 5: Solve for x
    x = 484,393,357,666.63/702,051.56
  6. Step 6: Final answer
    x = 689,968.35

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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.