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Finding the Fourth Proportional to 459,989.76, 634,784.76 and 258,785.76

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Solution

The fourth proportional to 459,989.76, 634,784.76 and 258,785.76 is: 357,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,989.76 : 634,784.76 = 258,785.76 : x
  2. Step 2: Convert to fraction form
    459,989.76/634,784.76 = 258,785.76/x
  3. Step 3: Cross multiply
    459,989.76x = 634,784.76 × 258,785.76
  4. Step 4: Simplify right side
    459,989.76x = 164,273,256,553.02
  5. Step 5: Solve for x
    x = 164,273,256,553.02/459,989.76
  6. Step 6: Final answer
    x = 357,123.72

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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.