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Finding the Fourth Proportional to 649,658.85, 896,106.78 and 416,717.12

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Solution

The fourth proportional to 649,658.85, 896,106.78 and 416,717.12 is: 574,798.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,658.85 : 896,106.78 = 416,717.12 : x
  2. Step 2: Convert to fraction form
    649,658.85/896,106.78 = 416,717.12/x
  3. Step 3: Cross multiply
    649,658.85x = 896,106.78 × 416,717.12
  4. Step 4: Simplify right side
    649,658.85x = 373,423,038,814.34
  5. Step 5: Solve for x
    x = 373,423,038,814.34/649,658.85
  6. Step 6: Final answer
    x = 574,798.67

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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.