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Finding the Fourth Proportional to 4,602,786, 6,905,491.20 and 1,570,826.40

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Solution

The fourth proportional to 4,602,786, 6,905,491.20 and 1,570,826.40 is: 2,356,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,786 : 6,905,491.20 = 1,570,826.40 : x
  2. Step 2: Convert to fraction form
    4,602,786/6,905,491.20 = 1,570,826.40/x
  3. Step 3: Cross multiply
    4,602,786x = 6,905,491.20 × 1,570,826.40
  4. Step 4: Simplify right side
    4,602,786x = 10,847,327,881,927.68
  5. Step 5: Solve for x
    x = 10,847,327,881,927.68/4,602,786
  6. Step 6: Final answer
    x = 2,356,687.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.