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Finding the Fourth Proportional to 877,664, 1,316,500.32 and 212,816

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Solution

The fourth proportional to 877,664, 1,316,500.32 and 212,816 is: 319,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,664 : 1,316,500.32 = 212,816 : x
  2. Step 2: Convert to fraction form
    877,664/1,316,500.32 = 212,816/x
  3. Step 3: Cross multiply
    877,664x = 1,316,500.32 × 212,816
  4. Step 4: Simplify right side
    877,664x = 280,172,332,101.12
  5. Step 5: Solve for x
    x = 280,172,332,101.12/877,664
  6. Step 6: Final answer
    x = 319,225.05

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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.