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Finding the Fourth Proportional to 284,862.80, 427,547.76 and 151,852.88

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Solution

The fourth proportional to 284,862.80, 427,547.76 and 151,852.88 is: 227,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,862.80 : 427,547.76 = 151,852.88 : x
  2. Step 2: Convert to fraction form
    284,862.80/427,547.76 = 151,852.88/x
  3. Step 3: Cross multiply
    284,862.80x = 427,547.76 × 151,852.88
  4. Step 4: Simplify right side
    284,862.80x = 64,924,358,693.55
  5. Step 5: Solve for x
    x = 64,924,358,693.55/284,862.80
  6. Step 6: Final answer
    x = 227,914.49

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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.