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Finding the Fourth Proportional to 302,853, 417,937.16 and 175,602.40

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Solution

The fourth proportional to 302,853, 417,937.16 and 175,602.40 is: 242,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,853 : 417,937.16 = 175,602.40 : x
  2. Step 2: Convert to fraction form
    302,853/417,937.16 = 175,602.40/x
  3. Step 3: Cross multiply
    302,853x = 417,937.16 × 175,602.40
  4. Step 4: Simplify right side
    302,853x = 73,390,768,345.18
  5. Step 5: Solve for x
    x = 73,390,768,345.18/302,853
  6. Step 6: Final answer
    x = 242,331.32

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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.