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Finding the Fourth Proportional to 519,237, 716,547.06 and 280,773

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Solution

The fourth proportional to 519,237, 716,547.06 and 280,773 is: 387,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,237 : 716,547.06 = 280,773 : x
  2. Step 2: Convert to fraction form
    519,237/716,547.06 = 280,773/x
  3. Step 3: Cross multiply
    519,237x = 716,547.06 × 280,773
  4. Step 4: Simplify right side
    519,237x = 201,187,067,677.38
  5. Step 5: Solve for x
    x = 201,187,067,677.38/519,237
  6. Step 6: Final answer
    x = 387,466.74

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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.