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Finding the Fourth Proportional to 1,267,413, 1,900,036.93 and 468,545.64

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Solution

The fourth proportional to 1,267,413, 1,900,036.93 and 468,545.64 is: 702,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,413 : 1,900,036.93 = 468,545.64 : x
  2. Step 2: Convert to fraction form
    1,267,413/1,900,036.93 = 468,545.64/x
  3. Step 3: Cross multiply
    1,267,413x = 1,900,036.93 × 468,545.64
  4. Step 4: Simplify right side
    1,267,413x = 890,254,019,390.49
  5. Step 5: Solve for x
    x = 890,254,019,390.49/1,267,413
  6. Step 6: Final answer
    x = 702,418.25

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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.