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Finding the Fourth Proportional to 460,117.80, 634,798.23 and 266,419.80

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Solution

The fourth proportional to 460,117.80, 634,798.23 and 266,419.80 is: 367,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,117.80 : 634,798.23 = 266,419.80 : x
  2. Step 2: Convert to fraction form
    460,117.80/634,798.23 = 266,419.80/x
  3. Step 3: Cross multiply
    460,117.80x = 634,798.23 × 266,419.80
  4. Step 4: Simplify right side
    460,117.80x = 169,122,817,476.95
  5. Step 5: Solve for x
    x = 169,122,817,476.95/460,117.80
  6. Step 6: Final answer
    x = 367,564.17

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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.