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Finding the Fourth Proportional to 456,547.14, 630,254.70 and 303,839.46

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Solution

The fourth proportional to 456,547.14, 630,254.70 and 303,839.46 is: 419,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,547.14 : 630,254.70 = 303,839.46 : x
  2. Step 2: Convert to fraction form
    456,547.14/630,254.70 = 303,839.46/x
  3. Step 3: Cross multiply
    456,547.14x = 630,254.70 × 303,839.46
  4. Step 4: Simplify right side
    456,547.14x = 191,496,247,710.46
  5. Step 5: Solve for x
    x = 191,496,247,710.46/456,547.14
  6. Step 6: Final answer
    x = 419,444.63

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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.