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Finding the Fourth Proportional to 417,396.84, 575,368.50 and 255,952.50

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Solution

The fourth proportional to 417,396.84, 575,368.50 and 255,952.50 is: 352,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,396.84 : 575,368.50 = 255,952.50 : x
  2. Step 2: Convert to fraction form
    417,396.84/575,368.50 = 255,952.50/x
  3. Step 3: Cross multiply
    417,396.84x = 575,368.50 × 255,952.50
  4. Step 4: Simplify right side
    417,396.84x = 147,267,005,996.25
  5. Step 5: Solve for x
    x = 147,267,005,996.25/417,396.84
  6. Step 6: Final answer
    x = 352,822.52

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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.