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Finding the Fourth Proportional to 413,078.28, 570,411.53 and 258,294.84

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Solution

The fourth proportional to 413,078.28, 570,411.53 and 258,294.84 is: 356,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,078.28 : 570,411.53 = 258,294.84 : x
  2. Step 2: Convert to fraction form
    413,078.28/570,411.53 = 258,294.84/x
  3. Step 3: Cross multiply
    413,078.28x = 570,411.53 × 258,294.84
  4. Step 4: Simplify right side
    413,078.28x = 147,334,354,875.51
  5. Step 5: Solve for x
    x = 147,334,354,875.51/413,078.28
  6. Step 6: Final answer
    x = 356,674.18

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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.