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Finding the Fourth Proportional to 346,130.84, 477,666.78 and 202,994.12

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Solution

The fourth proportional to 346,130.84, 477,666.78 and 202,994.12 is: 280,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,130.84 : 477,666.78 = 202,994.12 : x
  2. Step 2: Convert to fraction form
    346,130.84/477,666.78 = 202,994.12/x
  3. Step 3: Cross multiply
    346,130.84x = 477,666.78 × 202,994.12
  4. Step 4: Simplify right side
    346,130.84x = 96,963,547,659.33
  5. Step 5: Solve for x
    x = 96,963,547,659.33/346,130.84
  6. Step 6: Final answer
    x = 280,135.53

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1.5x scale

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.