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Finding the Fourth Proportional to 473,650.58, 710,465.88 and 153,802.10

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Solution

The fourth proportional to 473,650.58, 710,465.88 and 153,802.10 is: 230,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,650.58 : 710,465.88 = 153,802.10 : x
  2. Step 2: Convert to fraction form
    473,650.58/710,465.88 = 153,802.10/x
  3. Step 3: Cross multiply
    473,650.58x = 710,465.88 × 153,802.10
  4. Step 4: Simplify right side
    473,650.58x = 109,271,144,322.35
  5. Step 5: Solve for x
    x = 109,271,144,322.35/473,650.58
  6. Step 6: Final answer
    x = 230,699.91

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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.