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Finding the Fourth Proportional to 314,473.92, 433,925.16 and 180,312

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Solution

The fourth proportional to 314,473.92, 433,925.16 and 180,312 is: 248,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,473.92 : 433,925.16 = 180,312 : x
  2. Step 2: Convert to fraction form
    314,473.92/433,925.16 = 180,312/x
  3. Step 3: Cross multiply
    314,473.92x = 433,925.16 × 180,312
  4. Step 4: Simplify right side
    314,473.92x = 78,241,913,449.92
  5. Step 5: Solve for x
    x = 78,241,913,449.92/314,473.92
  6. Step 6: Final answer
    x = 248,802.55

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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.