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Finding the Fourth Proportional to 460,117.07, 634,797.20 and 266,419.07

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Solution

The fourth proportional to 460,117.07, 634,797.20 and 266,419.07 is: 367,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,117.07 : 634,797.20 = 266,419.07 : x
  2. Step 2: Convert to fraction form
    460,117.07/634,797.20 = 266,419.07/x
  3. Step 3: Cross multiply
    460,117.07x = 634,797.20 × 266,419.07
  4. Step 4: Simplify right side
    460,117.07x = 169,122,075,156.52
  5. Step 5: Solve for x
    x = 169,122,075,156.52/460,117.07
  6. Step 6: Final answer
    x = 367,563.14

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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.