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Finding the Fourth Proportional to 734,265, 1,013,338.08 and 407,595.24

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Solution

The fourth proportional to 734,265, 1,013,338.08 and 407,595.24 is: 562,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,265 : 1,013,338.08 = 407,595.24 : x
  2. Step 2: Convert to fraction form
    734,265/1,013,338.08 = 407,595.24/x
  3. Step 3: Cross multiply
    734,265x = 1,013,338.08 × 407,595.24
  4. Step 4: Simplify right side
    734,265x = 413,031,777,918.74
  5. Step 5: Solve for x
    x = 413,031,777,918.74/734,265
  6. Step 6: Final answer
    x = 562,510.51

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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.