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Finding the Fourth Proportional to 459,714.76, 634,412.18 and 253,006.94

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Solution

The fourth proportional to 459,714.76, 634,412.18 and 253,006.94 is: 349,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,714.76 : 634,412.18 = 253,006.94 : x
  2. Step 2: Convert to fraction form
    459,714.76/634,412.18 = 253,006.94/x
  3. Step 3: Cross multiply
    459,714.76x = 634,412.18 × 253,006.94
  4. Step 4: Simplify right side
    459,714.76x = 160,510,686,579.08
  5. Step 5: Solve for x
    x = 160,510,686,579.08/459,714.76
  6. Step 6: Final answer
    x = 349,152.78

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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.