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Finding the Fourth Proportional to 302,740.76, 417,782.38 and 175,490.16

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Solution

The fourth proportional to 302,740.76, 417,782.38 and 175,490.16 is: 242,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,740.76 : 417,782.38 = 175,490.16 : x
  2. Step 2: Convert to fraction form
    302,740.76/417,782.38 = 175,490.16/x
  3. Step 3: Cross multiply
    302,740.76x = 417,782.38 × 175,490.16
  4. Step 4: Simplify right side
    302,740.76x = 73,316,696,711.38
  5. Step 5: Solve for x
    x = 73,316,696,711.38/302,740.76
  6. Step 6: Final answer
    x = 242,176.50

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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.