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Finding the Fourth Proportional to 401,465.16, 552,631.14 and 346,992.30

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Solution

The fourth proportional to 401,465.16, 552,631.14 and 346,992.30 is: 477,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,465.16 : 552,631.14 = 346,992.30 : x
  2. Step 2: Convert to fraction form
    401,465.16/552,631.14 = 346,992.30/x
  3. Step 3: Cross multiply
    401,465.16x = 552,631.14 × 346,992.30
  4. Step 4: Simplify right side
    401,465.16x = 191,758,750,320.22
  5. Step 5: Solve for x
    x = 191,758,750,320.22/401,465.16
  6. Step 6: Final answer
    x = 477,647.30

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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.