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Finding the Fourth Proportional to 416,043.32, 573,985.67 and 307,409.56

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Solution

The fourth proportional to 416,043.32, 573,985.67 and 307,409.56 is: 424,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,043.32 : 573,985.67 = 307,409.56 : x
  2. Step 2: Convert to fraction form
    416,043.32/573,985.67 = 307,409.56/x
  3. Step 3: Cross multiply
    416,043.32x = 573,985.67 × 307,409.56
  4. Step 4: Simplify right side
    416,043.32x = 176,448,679,288.99
  5. Step 5: Solve for x
    x = 176,448,679,288.99/416,043.32
  6. Step 6: Final answer
    x = 424,111.32

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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.