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Finding the Fourth Proportional to 296,841.40, 409,569.80 and 176,012.40

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Solution

The fourth proportional to 296,841.40, 409,569.80 and 176,012.40 is: 242,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,841.40 : 409,569.80 = 176,012.40 : x
  2. Step 2: Convert to fraction form
    296,841.40/409,569.80 = 176,012.40/x
  3. Step 3: Cross multiply
    296,841.40x = 409,569.80 × 176,012.40
  4. Step 4: Simplify right side
    296,841.40x = 72,089,363,465.52
  5. Step 5: Solve for x
    x = 72,089,363,465.52/296,841.40
  6. Step 6: Final answer
    x = 242,854.82

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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.