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Finding the Fourth Proportional to 459,756.36, 634,103.76 and 314,648.16

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Solution

The fourth proportional to 459,756.36, 634,103.76 and 314,648.16 is: 433,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,756.36 : 634,103.76 = 314,648.16 : x
  2. Step 2: Convert to fraction form
    459,756.36/634,103.76 = 314,648.16/x
  3. Step 3: Cross multiply
    459,756.36x = 634,103.76 × 314,648.16
  4. Step 4: Simplify right side
    459,756.36x = 199,519,581,333.08
  5. Step 5: Solve for x
    x = 199,519,581,333.08/459,756.36
  6. Step 6: Final answer
    x = 433,968.07

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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.