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Finding the Fourth Proportional to 459,459.34, 688,739.06 and 257,154.22

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Solution

The fourth proportional to 459,459.34, 688,739.06 and 257,154.22 is: 385,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,459.34 : 688,739.06 = 257,154.22 : x
  2. Step 2: Convert to fraction form
    459,459.34/688,739.06 = 257,154.22/x
  3. Step 3: Cross multiply
    459,459.34x = 688,739.06 × 257,154.22
  4. Step 4: Simplify right side
    459,459.34x = 177,112,155,757.83
  5. Step 5: Solve for x
    x = 177,112,155,757.83/459,459.34
  6. Step 6: Final answer
    x = 385,479.50

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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.