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Finding the Fourth Proportional to 559,547, 772,175.82 and 304,898.18

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Solution

The fourth proportional to 559,547, 772,175.82 and 304,898.18 is: 420,760.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,547 : 772,175.82 = 304,898.18 : x
  2. Step 2: Convert to fraction form
    559,547/772,175.82 = 304,898.18/x
  3. Step 3: Cross multiply
    559,547x = 772,175.82 × 304,898.18
  4. Step 4: Simplify right side
    559,547x = 235,435,002,158.01
  5. Step 5: Solve for x
    x = 235,435,002,158.01/559,547
  6. Step 6: Final answer
    x = 420,760.01

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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.