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Finding the Fourth Proportional to 2,210,378, 3,315,567 and 714,470

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Solution

The fourth proportional to 2,210,378, 3,315,567 and 714,470 is: 1,071,705

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,378 : 3,315,567 = 714,470 : x
  2. Step 2: Convert to fraction form
    2,210,378/3,315,567 = 714,470/x
  3. Step 3: Cross multiply
    2,210,378x = 3,315,567 × 714,470
  4. Step 4: Simplify right side
    2,210,378x = 2,368,873,154,490
  5. Step 5: Solve for x
    x = 2,368,873,154,490/2,210,378
  6. Step 6: Final answer
    x = 1,071,705

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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.