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Finding the Fourth Proportional to 415,929.40, 623,894.10 and 412,430.20

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Solution

The fourth proportional to 415,929.40, 623,894.10 and 412,430.20 is: 618,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,929.40 : 623,894.10 = 412,430.20 : x
  2. Step 2: Convert to fraction form
    415,929.40/623,894.10 = 412,430.20/x
  3. Step 3: Cross multiply
    415,929.40x = 623,894.10 × 412,430.20
  4. Step 4: Simplify right side
    415,929.40x = 257,312,768,441.82
  5. Step 5: Solve for x
    x = 257,312,768,441.82/415,929.40
  6. Step 6: Final answer
    x = 618,645.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.