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Finding the Fourth Proportional to 506,716.74, 760,075.09 and 411,832.38

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Solution

The fourth proportional to 506,716.74, 760,075.09 and 411,832.38 is: 617,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,716.74 : 760,075.09 = 411,832.38 : x
  2. Step 2: Convert to fraction form
    506,716.74/760,075.09 = 411,832.38/x
  3. Step 3: Cross multiply
    506,716.74x = 760,075.09 × 411,832.38
  4. Step 4: Simplify right side
    506,716.74x = 313,023,533,293.41
  5. Step 5: Solve for x
    x = 313,023,533,293.41/506,716.74
  6. Step 6: Final answer
    x = 617,748.55

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1.5x scale

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.