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Finding the Fourth Proportional to 459,714, 634,411.16 and 253,006.19

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Solution

The fourth proportional to 459,714, 634,411.16 and 253,006.19 is: 349,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,714 : 634,411.16 = 253,006.19 : x
  2. Step 2: Convert to fraction form
    459,714/634,411.16 = 253,006.19/x
  3. Step 3: Cross multiply
    459,714x = 634,411.16 × 253,006.19
  4. Step 4: Simplify right side
    459,714x = 160,509,946,047.99
  5. Step 5: Solve for x
    x = 160,509,946,047.99/459,714
  6. Step 6: Final answer
    x = 349,151.75

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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.