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Finding the Fourth Proportional to 597,929.80, 896,894.70 and 429,968.20

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Solution

The fourth proportional to 597,929.80, 896,894.70 and 429,968.20 is: 644,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,929.80 : 896,894.70 = 429,968.20 : x
  2. Step 2: Convert to fraction form
    597,929.80/896,894.70 = 429,968.20/x
  3. Step 3: Cross multiply
    597,929.80x = 896,894.70 × 429,968.20
  4. Step 4: Simplify right side
    597,929.80x = 385,636,199,748.54
  5. Step 5: Solve for x
    x = 385,636,199,748.54/597,929.80
  6. Step 6: Final answer
    x = 644,952.30

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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.