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Finding the Fourth Proportional to 615,047.16, 922,565.20 and 194,323

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Solution

The fourth proportional to 615,047.16, 922,565.20 and 194,323 is: 291,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,047.16 : 922,565.20 = 194,323 : x
  2. Step 2: Convert to fraction form
    615,047.16/922,565.20 = 194,323/x
  3. Step 3: Cross multiply
    615,047.16x = 922,565.20 × 194,323
  4. Step 4: Simplify right side
    615,047.16x = 179,275,637,359.60
  5. Step 5: Solve for x
    x = 179,275,637,359.60/615,047.16
  6. Step 6: Final answer
    x = 291,482.75

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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.