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Finding the Fourth Proportional to 613,661.47, 847,114.10 and 412,574.11

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Solution

The fourth proportional to 613,661.47, 847,114.10 and 412,574.11 is: 569,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,661.47 : 847,114.10 = 412,574.11 : x
  2. Step 2: Convert to fraction form
    613,661.47/847,114.10 = 412,574.11/x
  3. Step 3: Cross multiply
    613,661.47x = 847,114.10 × 412,574.11
  4. Step 4: Simplify right side
    613,661.47x = 349,497,343,242.45
  5. Step 5: Solve for x
    x = 349,497,343,242.45/613,661.47
  6. Step 6: Final answer
    x = 569,527.93

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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.