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Finding the Fourth Proportional to 464,853, 697,200.57 and 212,074.08

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Solution

The fourth proportional to 464,853, 697,200.57 and 212,074.08 is: 318,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,853 : 697,200.57 = 212,074.08 : x
  2. Step 2: Convert to fraction form
    464,853/697,200.57 = 212,074.08/x
  3. Step 3: Cross multiply
    464,853x = 697,200.57 × 212,074.08
  4. Step 4: Simplify right side
    464,853x = 147,858,169,458.23
  5. Step 5: Solve for x
    x = 147,858,169,458.23/464,853
  6. Step 6: Final answer
    x = 318,075.11

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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.