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Finding the Fourth Proportional to 301,113.90, 414,493.98 and 260,259.30

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Solution

The fourth proportional to 301,113.90, 414,493.98 and 260,259.30 is: 358,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,113.90 : 414,493.98 = 260,259.30 : x
  2. Step 2: Convert to fraction form
    301,113.90/414,493.98 = 260,259.30/x
  3. Step 3: Cross multiply
    301,113.90x = 414,493.98 × 260,259.30
  4. Step 4: Simplify right side
    301,113.90x = 107,875,913,089.01
  5. Step 5: Solve for x
    x = 107,875,913,089.01/301,113.90
  6. Step 6: Final answer
    x = 358,256.17

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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.