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Finding the Fourth Proportional to 298,368.09, 411,714.21 and 175,852.47

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Solution

The fourth proportional to 298,368.09, 411,714.21 and 175,852.47 is: 242,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,368.09 : 411,714.21 = 175,852.47 : x
  2. Step 2: Convert to fraction form
    298,368.09/411,714.21 = 175,852.47/x
  3. Step 3: Cross multiply
    298,368.09x = 411,714.21 × 175,852.47
  4. Step 4: Simplify right side
    298,368.09x = 72,400,960,762.60
  5. Step 5: Solve for x
    x = 72,400,960,762.60/298,368.09
  6. Step 6: Final answer
    x = 242,656.51

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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.