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Finding the Fourth Proportional to 459,457.34, 688,736.06 and 257,152.22

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Solution

The fourth proportional to 459,457.34, 688,736.06 and 257,152.22 is: 385,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,457.34 : 688,736.06 = 257,152.22 : x
  2. Step 2: Convert to fraction form
    459,457.34/688,736.06 = 257,152.22/x
  3. Step 3: Cross multiply
    459,457.34x = 688,736.06 × 257,152.22
  4. Step 4: Simplify right side
    459,457.34x = 177,110,006,823.05
  5. Step 5: Solve for x
    x = 177,110,006,823.05/459,457.34
  6. Step 6: Final answer
    x = 385,476.50

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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.