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Finding the Fourth Proportional to 413,730.48, 570,768.12 and 260,675.76

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Solution

The fourth proportional to 413,730.48, 570,768.12 and 260,675.76 is: 359,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,730.48 : 570,768.12 = 260,675.76 : x
  2. Step 2: Convert to fraction form
    413,730.48/570,768.12 = 260,675.76/x
  3. Step 3: Cross multiply
    413,730.48x = 570,768.12 × 260,675.76
  4. Step 4: Simplify right side
    413,730.48x = 148,785,413,464.77
  5. Step 5: Solve for x
    x = 148,785,413,464.77/413,730.48
  6. Step 6: Final answer
    x = 359,619.17

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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.