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Finding the Fourth Proportional to 734,605.13, 1,013,762.60 and 412,308.77

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Solution

The fourth proportional to 734,605.13, 1,013,762.60 and 412,308.77 is: 568,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,605.13 : 1,013,762.60 = 412,308.77 : x
  2. Step 2: Convert to fraction form
    734,605.13/1,013,762.60 = 412,308.77/x
  3. Step 3: Cross multiply
    734,605.13x = 1,013,762.60 × 412,308.77
  4. Step 4: Simplify right side
    734,605.13x = 417,983,208,616.46
  5. Step 5: Solve for x
    x = 417,983,208,616.46/734,605.13
  6. Step 6: Final answer
    x = 568,990.32

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1.5x scale

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.