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Finding the Fourth Proportional to 346,547.37, 478,212.71 and 201,340.29

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Solution

The fourth proportional to 346,547.37, 478,212.71 and 201,340.29 is: 277,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,547.37 : 478,212.71 = 201,340.29 : x
  2. Step 2: Convert to fraction form
    346,547.37/478,212.71 = 201,340.29/x
  3. Step 3: Cross multiply
    346,547.37x = 478,212.71 × 201,340.29
  4. Step 4: Simplify right side
    346,547.37x = 96,283,484,706.38
  5. Step 5: Solve for x
    x = 96,283,484,706.38/346,547.37
  6. Step 6: Final answer
    x = 277,836.43

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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.