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Finding the Fourth Proportional to 506,014.82, 759,146.80 and 356,547

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Solution

The fourth proportional to 506,014.82, 759,146.80 and 356,547 is: 534,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,014.82 : 759,146.80 = 356,547 : x
  2. Step 2: Convert to fraction form
    506,014.82/759,146.80 = 356,547/x
  3. Step 3: Cross multiply
    506,014.82x = 759,146.80 × 356,547
  4. Step 4: Simplify right side
    506,014.82x = 270,671,514,099.60
  5. Step 5: Solve for x
    x = 270,671,514,099.60/506,014.82
  6. Step 6: Final answer
    x = 534,908.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.