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Finding the Fourth Proportional to 2,357,052, 3,535,578 and 584,124

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Solution

The fourth proportional to 2,357,052, 3,535,578 and 584,124 is: 876,186

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357,052 : 3,535,578 = 584,124 : x
  2. Step 2: Convert to fraction form
    2,357,052/3,535,578 = 584,124/x
  3. Step 3: Cross multiply
    2,357,052x = 3,535,578 × 584,124
  4. Step 4: Simplify right side
    2,357,052x = 2,065,215,963,672
  5. Step 5: Solve for x
    x = 2,065,215,963,672/2,357,052
  6. Step 6: Final answer
    x = 876,186

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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.