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Finding the Fourth Proportional to 569,710.40, 786,071.94 and 340,226.06

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Solution

The fourth proportional to 569,710.40, 786,071.94 and 340,226.06 is: 469,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,710.40 : 786,071.94 = 340,226.06 : x
  2. Step 2: Convert to fraction form
    569,710.40/786,071.94 = 340,226.06/x
  3. Step 3: Cross multiply
    569,710.40x = 786,071.94 × 340,226.06
  4. Step 4: Simplify right side
    569,710.40x = 267,442,159,022.76
  5. Step 5: Solve for x
    x = 267,442,159,022.76/569,710.40
  6. Step 6: Final answer
    x = 469,435.28

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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.